General equation of a circle
•
1 like•3,707 views
- The general equation of a circle is x2 + y2 + 2gx + 2fy + c = 0. - Comparing this equation to the standard form (x - h)2 + (y - k)2 = r2 allows us to determine the circle's center (h, k) and radius r from any circle equation. - For the example circle x2 + y2 + 4x - 6y + 4 = 0, the center is (-2, 3) and the radius is 3 units.
Report
Share
Report
Share
Recommended
Ellipse
An ellipse is defined algebraically as the set of all points where the sum of the distances to two fixed points (the foci) is a constant. Geometrically, an ellipse can be constructed by stretching a circle: using a piece of string fixed at both ends (the foci) and tracing the path of a pencil as it is moved around so that the total length of string remains constant.
The standard equation of an ellipse is (x-h)2/a2 + (y-k)2/b2 = 1, where (h,k) is the center and a and b are the lengths of the semi-major and semi-minor axes. To graph an ellipse, one plots
G10 Math Q2- Week 8- Equation of a Circle.pptx
This document discusses the standard and general forms of equations for circles. It provides examples of writing the standard and general form equations given the center and radius of various circles. Key points covered include:
- The standard form of a circle equation is (x-h)2 + (y-k)2 = r2, where (h,k) is the center and r is the radius.
- The general form is Ax2 + By2 + Cx + Dy + E = 0, where the coefficients can be used to find the center and radius.
- Examples are worked through of writing circle equations in both standard and general form given attributes of the circle like the center and radius.
Domain and range
The document discusses domain and range of graphs. It defines domain as all the x-values and range as all the y-values of a graph. It provides examples of determining the domain and range from graphs, describing whether they include or exclude endpoint values and how to write the domain and range in inequality notation.
Factoring Difference of Two Squares
You will learn how to factor the difference of two squares.
For more instructional resources, CLICK me here! 👇👇👇
https://tinyurl.com/y9muob6q
LIKE and FOLLOW me here! 👍👍👍
https://tinyurl.com/ycjp8r7u
https://tinyurl.com/ybo27k2u
Equation of a Circle in standard and general form
Writing an equation of a circle in standard or general form and finding the radius and the center of a circle given an equation.
Polynomial equations
This document discusses finding the real roots of polynomial equations. It states that a polynomial of degree n can have at most n real roots. It then provides examples of factorizing polynomials into their linear factors to find their roots. Finally, it lists 5 polynomial equations and asks the reader to find the roots of each by factorizing.
Determining the center and the radius of a circle
This document provides instruction on determining the center and radius of a circle given its equation in standard form and vice versa. It begins with stating the objectives of identifying the standard form of a circle equation and using it to determine center and radius or write the equation given one of those. Several examples are worked through, including transforming equations to standard form and finding center and radius. Short exercises are provided for students to practice these skills.
Equation of a circle
Here are some things you did well and could improve on:
WWW:
- You explained the key concepts around writing the equation of a circle clearly and concisely. Breaking it down step-by-step makes it easy to understand.
- Providing examples with worked solutions is very helpful for reinforcement. The visual diagrams additionally aid comprehension.
- Giving practice problems for students to try on their own, along with answers, allows for application of the material.
EBI:
- Some of the text could be formatted for easier reading (e.g. consistent formatting of equations).
- Adding brief summaries or recaps after sections of explanation may aid retention.
- Providing guidance on common errors
Recommended
Ellipse
An ellipse is defined algebraically as the set of all points where the sum of the distances to two fixed points (the foci) is a constant. Geometrically, an ellipse can be constructed by stretching a circle: using a piece of string fixed at both ends (the foci) and tracing the path of a pencil as it is moved around so that the total length of string remains constant.
The standard equation of an ellipse is (x-h)2/a2 + (y-k)2/b2 = 1, where (h,k) is the center and a and b are the lengths of the semi-major and semi-minor axes. To graph an ellipse, one plots
G10 Math Q2- Week 8- Equation of a Circle.pptx
This document discusses the standard and general forms of equations for circles. It provides examples of writing the standard and general form equations given the center and radius of various circles. Key points covered include:
- The standard form of a circle equation is (x-h)2 + (y-k)2 = r2, where (h,k) is the center and r is the radius.
- The general form is Ax2 + By2 + Cx + Dy + E = 0, where the coefficients can be used to find the center and radius.
- Examples are worked through of writing circle equations in both standard and general form given attributes of the circle like the center and radius.
Domain and range
The document discusses domain and range of graphs. It defines domain as all the x-values and range as all the y-values of a graph. It provides examples of determining the domain and range from graphs, describing whether they include or exclude endpoint values and how to write the domain and range in inequality notation.
Factoring Difference of Two Squares
You will learn how to factor the difference of two squares.
For more instructional resources, CLICK me here! 👇👇👇
https://tinyurl.com/y9muob6q
LIKE and FOLLOW me here! 👍👍👍
https://tinyurl.com/ycjp8r7u
https://tinyurl.com/ybo27k2u
Equation of a Circle in standard and general form
Writing an equation of a circle in standard or general form and finding the radius and the center of a circle given an equation.
Polynomial equations
This document discusses finding the real roots of polynomial equations. It states that a polynomial of degree n can have at most n real roots. It then provides examples of factorizing polynomials into their linear factors to find their roots. Finally, it lists 5 polynomial equations and asks the reader to find the roots of each by factorizing.
Determining the center and the radius of a circle
This document provides instruction on determining the center and radius of a circle given its equation in standard form and vice versa. It begins with stating the objectives of identifying the standard form of a circle equation and using it to determine center and radius or write the equation given one of those. Several examples are worked through, including transforming equations to standard form and finding center and radius. Short exercises are provided for students to practice these skills.
Equation of a circle
Here are some things you did well and could improve on:
WWW:
- You explained the key concepts around writing the equation of a circle clearly and concisely. Breaking it down step-by-step makes it easy to understand.
- Providing examples with worked solutions is very helpful for reinforcement. The visual diagrams additionally aid comprehension.
- Giving practice problems for students to try on their own, along with answers, allows for application of the material.
EBI:
- Some of the text could be formatted for easier reading (e.g. consistent formatting of equations).
- Adding brief summaries or recaps after sections of explanation may aid retention.
- Providing guidance on common errors
Euler's Method
Euler's Method is used to approximate solutions to differential equations. The document provides two examples:
1) Approximating y(2) given dy/dx = 2x + y, y(1) = -3, using two steps of size 0.5. The approximation is y(2) ≈ -3.75.
2) Approximating y(4) given dy/dx = y - 2, y(0)=4, using four steps of size 1. The approximation is y(4) ≈ 34.
presentation on Euler and Modified Euler method ,and Fitting of curve
presentation on Euler and Modified Euler method with working and example ,and Fitting of Nonlinear curve using Method of least square
Equations of circles
This document discusses graphing circles and converting between graphing form and standard form equations of circles. It provides examples of writing the equation of a circle given its center and radius in graphing form. It also shows how to find the center, radius, and equation of a circle given the standard form equation. The key points are:
- In graphing form, the center is denoted as (h, k) and the equation is (x - h)2 + (y - k)2 = r2
- To convert to standard form, complete the square and factor the left side, moving any constant to the right side.
ellipse (An Introduction)
An ellipse is a curve where the sum of the distances from two fixed focal points is a constant. It is defined as the set of all points whose distances from two focal points add up to a constant. The standard equation of an ellipse is (x/a)^2 + (y/b)^2 = 1, where the focal points are located at (±c,0) and the vertices are located at (±a,0) and covertices at (0,±b). Examples are given of finding the focal points, vertices, and covertices of ellipses with given standard equations and of writing the standard equation of an ellipse given its focal points and constant sum of distances.
Distance formula
This document explains the distance formula and how to use it to calculate the distance between points on a Cartesian plane. It provides the steps to use the Pythagorean theorem to derive the distance formula: take the difference between the x-coordinates squared and add it to the difference between the y-coordinates squared, and take the square root of the result. It then works through an example of using the distance formula to calculate the distance between points (3,2) and (8,7), which equals 5 units. The document concludes with practice problems and assignments applying the distance formula.
Differential geometry three dimensional space
This presentation describes the mathematics of curves and surfaces in a 3 dimensional (Euclidean) space.
The presentation is at an Undergraduate in Science (Math, Physics, Engineering) level.
Plee send comments and suggestions to improvements to solo.hermelin@gmail.com. Thanks/
More presentations can be found at my website http://www.solohermelin.com.
Equations of circles power point
The document discusses the standard form of a circle equation and provides examples of writing the equation of various circles given their center and radius. It begins by defining the components of a circle - the center (h,k) and radius r. Then it shows the standard form of a circle equation: (x-h)2 + (y-k)2 = r2. The rest of the document provides the center and radius of several circles and has the reader write out the corresponding standard equation for each one.
Relations and Functions
The document discusses relations, functions, domains, and ranges. It defines a relation as a set of ordered pairs and a function as a relation where each x-value is mapped to only one y-value. It explains how to identify the domain and range of a relation, and use the vertical line test and mappings to determine if a relation is a function. Examples of evaluating functions are also provided.
Ellipse
An ellipse is a curve in a plane where the sum of the distances to two fixed points (foci) is a constant. The two foci, along with the major and minor axes and vertices, are used to define an ellipse. The standard equation of an ellipse depends on whether the foci lie along the x-axis or y-axis. Key properties including eccentricity and the latus rectum are also described.
Conic Section
This document discusses the four basic conic sections - circles, parabolas, ellipses, and hyperbolas. It provides the standard form equations and key characteristics for each conic section with varying positions of the vertex. Circles are defined by a center point and radius. Parabolas are defined by a focus, directrix, and vertex. Ellipses are defined by two foci and the sum of distances to these points. Hyperbolas are defined by two foci and the difference of distances to these points. Examples of each conic section in architecture and acoustics are also given.
Area of sectors & segment ananya
This document discusses the areas of circular sectors and segments. It defines a sector as the region between two radii and an arc, and provides a formula to calculate the area of a sector based on its central angle and radius. A segment is defined as the region between a chord and arc, and the document explains that the area of a segment can be calculated by taking the area of its corresponding sector and subtracting the area of the triangular portion cut off by the chord.
Hyperbola (Advanced Algebra)
A hyperbola is the set of all points where the absolute difference between the distance to two fixed points (foci) is a constant. It is formed by the intersection of a plane with a double cone. The key parts of a hyperbola include the foci, vertices, center, and asymptotes. Hyperbolas can be written in standard form equations and graphed based on identifying these key parts.
Slope of a Line
This document contains a lesson on slope of a line from a mathematics course. It includes examples of calculating slope given two points on a line, identifying whether graphs represent constant or variable rates of change, and word problems applying slope to real-world contexts like cost of fruit and gas. The key points are that slope is defined as the ratio of rise over run, or change in y over change in x, and represents the constant rate of change for linear equations and functions.
14.6 triple integrals in cylindrical and spherical coordinates
Triple Integrals in Cylindrical and Spherical Coordinates summarizes the process of converting between rectangular, cylindrical, and spherical coordinate systems and evaluating triple integrals using these alternative coordinate systems. It provides examples of converting between coordinate systems, finding equations for surfaces in different coordinates, and evaluating triple integrals over various regions using cylindrical and spherical coordinates.
3.3 conic sections circles
The document discusses conic sections, which are curves formed by the intersection of a plane and a right circular cone. There are four types of conic sections: circles, ellipses, parabolas, and hyperbolas. Conic sections can be represented by second-degree equations in x and y, and the technique of completing the square is used to determine which equation corresponds to each type of conic section. The document also reviews the distance formula.
Lesson 3: The Limit of a Function
The document provides an introduction to the precise definition of a limit in calculus. It begins with a heuristic definition of a limit using an error-tolerance game between two players. It then presents Cauchy's precise definition, where the limit is defined using epsilon-delta relationships such that for any epsilon tolerance around the proposed limit L, there exists a corresponding delta tolerance around the point a such that the function values are within epsilon of L when the input values are within delta of a. Examples are provided to illustrate the definition. Pathologies where limits may not exist are also discussed.
Fourier series and transforms
This document discusses Fourier series and transforms. It begins by introducing periodic functions and their fundamental periods. It then defines Fourier series and derives the formulas for the Fourier coefficients. Several examples of calculating Fourier series are provided. It also covers Fourier series for functions with any period, complex Fourier series, Parseval's identity and its applications, and Dirichlet's theorem. The key topics of Fourier series, Fourier transforms, and their applications in engineering mathematics are covered over multiple sections.
Numerical solution of ordinary differential equation
mathematical solution for the ordinary differential equation and application in aerospace for rocket trajectory by using Runge kutta method .
Odd and even functions
The document defines even, odd, and neither functions based on their symmetry properties. An even function is symmetric about the y-axis, such that f(-x) = f(x). An odd function is symmetric about the origin, such that f(-x) = -f(x). A function is neither even nor odd if it does not satisfy those properties. Examples are provided to demonstrate how to determine if a given function is even, odd, or neither.
Geometric Series and Finding the Sum of Finite Geometric Sequence
This document provides instruction on finding the sum of finite geometric sequences. It defines a geometric series as the sum of terms in a geometric sequence. It gives examples of finding the sum of the first n terms when the ratio r is -1, 1, or another value. The key formula provided is Sn = a1rn-1/(r-1) for finding the sum of a finite geometric sequence, where a1 is the first term, r is the common ratio, and n is the number of terms. An example problem applies this to find the total distance traveled by a ball bouncing repeatedly to 40% of its previous height.
Obj. 60 Circles in the Coordinate Plane
The student is able to write equations for and graph circles in the coordinate plane. The equation of a circle is (x-h)2 + (y-k)2 = r2, where (h,k) is the center and r is the radius. Examples are given of identifying the center and radius from given equations and writing equations from given center and radius or a point on the circle. To graph a circle, you plot the center and draw a curve connecting points that are the radius distance from the center.
Circles and coordinate circles
terms on circles, tangent lines, secant lines, area & perimeter, sector of a circle. equation of a circle.
More Related Content
What's hot
Euler's Method
Euler's Method is used to approximate solutions to differential equations. The document provides two examples:
1) Approximating y(2) given dy/dx = 2x + y, y(1) = -3, using two steps of size 0.5. The approximation is y(2) ≈ -3.75.
2) Approximating y(4) given dy/dx = y - 2, y(0)=4, using four steps of size 1. The approximation is y(4) ≈ 34.
presentation on Euler and Modified Euler method ,and Fitting of curve
presentation on Euler and Modified Euler method with working and example ,and Fitting of Nonlinear curve using Method of least square
Equations of circles
This document discusses graphing circles and converting between graphing form and standard form equations of circles. It provides examples of writing the equation of a circle given its center and radius in graphing form. It also shows how to find the center, radius, and equation of a circle given the standard form equation. The key points are:
- In graphing form, the center is denoted as (h, k) and the equation is (x - h)2 + (y - k)2 = r2
- To convert to standard form, complete the square and factor the left side, moving any constant to the right side.
ellipse (An Introduction)
An ellipse is a curve where the sum of the distances from two fixed focal points is a constant. It is defined as the set of all points whose distances from two focal points add up to a constant. The standard equation of an ellipse is (x/a)^2 + (y/b)^2 = 1, where the focal points are located at (±c,0) and the vertices are located at (±a,0) and covertices at (0,±b). Examples are given of finding the focal points, vertices, and covertices of ellipses with given standard equations and of writing the standard equation of an ellipse given its focal points and constant sum of distances.
Distance formula
This document explains the distance formula and how to use it to calculate the distance between points on a Cartesian plane. It provides the steps to use the Pythagorean theorem to derive the distance formula: take the difference between the x-coordinates squared and add it to the difference between the y-coordinates squared, and take the square root of the result. It then works through an example of using the distance formula to calculate the distance between points (3,2) and (8,7), which equals 5 units. The document concludes with practice problems and assignments applying the distance formula.
Differential geometry three dimensional space
This presentation describes the mathematics of curves and surfaces in a 3 dimensional (Euclidean) space.
The presentation is at an Undergraduate in Science (Math, Physics, Engineering) level.
Plee send comments and suggestions to improvements to solo.hermelin@gmail.com. Thanks/
More presentations can be found at my website http://www.solohermelin.com.
Equations of circles power point
The document discusses the standard form of a circle equation and provides examples of writing the equation of various circles given their center and radius. It begins by defining the components of a circle - the center (h,k) and radius r. Then it shows the standard form of a circle equation: (x-h)2 + (y-k)2 = r2. The rest of the document provides the center and radius of several circles and has the reader write out the corresponding standard equation for each one.
Relations and Functions
The document discusses relations, functions, domains, and ranges. It defines a relation as a set of ordered pairs and a function as a relation where each x-value is mapped to only one y-value. It explains how to identify the domain and range of a relation, and use the vertical line test and mappings to determine if a relation is a function. Examples of evaluating functions are also provided.
Ellipse
An ellipse is a curve in a plane where the sum of the distances to two fixed points (foci) is a constant. The two foci, along with the major and minor axes and vertices, are used to define an ellipse. The standard equation of an ellipse depends on whether the foci lie along the x-axis or y-axis. Key properties including eccentricity and the latus rectum are also described.
Conic Section
This document discusses the four basic conic sections - circles, parabolas, ellipses, and hyperbolas. It provides the standard form equations and key characteristics for each conic section with varying positions of the vertex. Circles are defined by a center point and radius. Parabolas are defined by a focus, directrix, and vertex. Ellipses are defined by two foci and the sum of distances to these points. Hyperbolas are defined by two foci and the difference of distances to these points. Examples of each conic section in architecture and acoustics are also given.
Area of sectors & segment ananya
This document discusses the areas of circular sectors and segments. It defines a sector as the region between two radii and an arc, and provides a formula to calculate the area of a sector based on its central angle and radius. A segment is defined as the region between a chord and arc, and the document explains that the area of a segment can be calculated by taking the area of its corresponding sector and subtracting the area of the triangular portion cut off by the chord.
Hyperbola (Advanced Algebra)
A hyperbola is the set of all points where the absolute difference between the distance to two fixed points (foci) is a constant. It is formed by the intersection of a plane with a double cone. The key parts of a hyperbola include the foci, vertices, center, and asymptotes. Hyperbolas can be written in standard form equations and graphed based on identifying these key parts.
Slope of a Line
This document contains a lesson on slope of a line from a mathematics course. It includes examples of calculating slope given two points on a line, identifying whether graphs represent constant or variable rates of change, and word problems applying slope to real-world contexts like cost of fruit and gas. The key points are that slope is defined as the ratio of rise over run, or change in y over change in x, and represents the constant rate of change for linear equations and functions.
14.6 triple integrals in cylindrical and spherical coordinates
Triple Integrals in Cylindrical and Spherical Coordinates summarizes the process of converting between rectangular, cylindrical, and spherical coordinate systems and evaluating triple integrals using these alternative coordinate systems. It provides examples of converting between coordinate systems, finding equations for surfaces in different coordinates, and evaluating triple integrals over various regions using cylindrical and spherical coordinates.
3.3 conic sections circles
The document discusses conic sections, which are curves formed by the intersection of a plane and a right circular cone. There are four types of conic sections: circles, ellipses, parabolas, and hyperbolas. Conic sections can be represented by second-degree equations in x and y, and the technique of completing the square is used to determine which equation corresponds to each type of conic section. The document also reviews the distance formula.
Lesson 3: The Limit of a Function
The document provides an introduction to the precise definition of a limit in calculus. It begins with a heuristic definition of a limit using an error-tolerance game between two players. It then presents Cauchy's precise definition, where the limit is defined using epsilon-delta relationships such that for any epsilon tolerance around the proposed limit L, there exists a corresponding delta tolerance around the point a such that the function values are within epsilon of L when the input values are within delta of a. Examples are provided to illustrate the definition. Pathologies where limits may not exist are also discussed.
Fourier series and transforms
This document discusses Fourier series and transforms. It begins by introducing periodic functions and their fundamental periods. It then defines Fourier series and derives the formulas for the Fourier coefficients. Several examples of calculating Fourier series are provided. It also covers Fourier series for functions with any period, complex Fourier series, Parseval's identity and its applications, and Dirichlet's theorem. The key topics of Fourier series, Fourier transforms, and their applications in engineering mathematics are covered over multiple sections.
Numerical solution of ordinary differential equation
mathematical solution for the ordinary differential equation and application in aerospace for rocket trajectory by using Runge kutta method .
Odd and even functions
The document defines even, odd, and neither functions based on their symmetry properties. An even function is symmetric about the y-axis, such that f(-x) = f(x). An odd function is symmetric about the origin, such that f(-x) = -f(x). A function is neither even nor odd if it does not satisfy those properties. Examples are provided to demonstrate how to determine if a given function is even, odd, or neither.
Geometric Series and Finding the Sum of Finite Geometric Sequence
This document provides instruction on finding the sum of finite geometric sequences. It defines a geometric series as the sum of terms in a geometric sequence. It gives examples of finding the sum of the first n terms when the ratio r is -1, 1, or another value. The key formula provided is Sn = a1rn-1/(r-1) for finding the sum of a finite geometric sequence, where a1 is the first term, r is the common ratio, and n is the number of terms. An example problem applies this to find the total distance traveled by a ball bouncing repeatedly to 40% of its previous height.
What's hot (20)
presentation on Euler and Modified Euler method ,and Fitting of curve
presentation on Euler and Modified Euler method ,and Fitting of curve
14.6 triple integrals in cylindrical and spherical coordinates
14.6 triple integrals in cylindrical and spherical coordinates
Numerical solution of ordinary differential equation
Numerical solution of ordinary differential equation
Geometric Series and Finding the Sum of Finite Geometric Sequence
Geometric Series and Finding the Sum of Finite Geometric Sequence
Viewers also liked
Obj. 60 Circles in the Coordinate Plane
The student is able to write equations for and graph circles in the coordinate plane. The equation of a circle is (x-h)2 + (y-k)2 = r2, where (h,k) is the center and r is the radius. Examples are given of identifying the center and radius from given equations and writing equations from given center and radius or a point on the circle. To graph a circle, you plot the center and draw a curve connecting points that are the radius distance from the center.
Circles and coordinate circles
terms on circles, tangent lines, secant lines, area & perimeter, sector of a circle. equation of a circle.
Circle
1) The document provides information on circle equations and properties including: the general form of a circle equation, finding the center and radius from an equation, and determining if a point lies inside, outside or on a circle.
2) Examples are given for writing circle equations in different forms, finding centers and radii, and finding intersection points between circles and lines.
3) The key steps for finding intersections between a line and circle are outlined using simultaneous equations and the discriminant.
Circles
Circles are geometric figures whose points all lie the same fixed distance from a central point called the center. A circle is defined as the collection of all points in a plane that are equidistant from a fixed point. The line segment from the center to any point on the circle is called the radius, and the longest possible chord that passes through the center is the diameter, which has a length twice that of the radius. Circles have key properties like circumference, arcs, segments, and sectors that are defined in the document. Formulas are also provided relating circumference, diameter, radius, area of circles and circular segments.
Equation of a Circle
1) The document discusses the equation of a circle and how to derive it using the Pythagorean theorem and distance formula.
2) For a circle with center (0,0), the equation is x^2 + y^2 = r^2, where r is the radius.
3) More generally, for a circle with center (a,b), the equation is (x-a)^2 + (y-b)^2 = r^2, where (a,b) are the coordinates of the center and r is the radius.
Circle
The document provides a history and overview of circles. It discusses:
1) Euclid defined circles in 300 BC in his work "The Elements", establishing circles as fundamental objects in geometry. He defined a point and line and established early theorems about circles.
2) Key parts of a circle include the radius, diameter, circumference, chord, secant, tangent, arc, sector, and segment. The circumference is related to the diameter by pi.
3) Circles can be defined analytically using equations in the standard "center-radius" form of (x-h)2 + (y-k)2 = r2, where (h,k) are the coordinates of the
Viewers also liked (6)
Similar to General equation of a circle
Circle
The document discusses equations of circles in various forms. It provides the general equation of a circle, as well as equations for circles given specific properties like center point and radius, diameter endpoints, tangency to an axis, and passing through a given point. Examples are worked through to find the equation of a circle matching given conditions or to obtain properties of a circle from its equation. Circles can be represented using forms based on the center and radius, diameter endpoints, or general equation.
Cricle.pptx
Circle, Definition, Equation of circle whose center and radius is known, General equation of a circle, Equation of circle passing through three given points, Equation of circle whose diameters is line joining two points (x1, y1) & (x2,y2), Tangent and Normal to a given circle at given point.
Circles getting centre and radius 13
This document provides examples of finding the center and radius of circles from their equations. It shows that if a circle equation is given as x^2 + y^2 + 2gx + 2fy + c = 0, then the center is (-g, -f) and the radius is the square root of g^2 + f^2 - c. It works through multiple examples, equating coefficients to find g, f, and c, and then uses this formula to determine the center and radius.
CIRCLES.pptx
Circles are geometric shapes defined as the set of all points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius. Circle equations can be written in standard form (x-h)2 + (y-k)2 = r2, where (h, k) are the coordinates of the center and r is the radius. Problems involve finding the equation of a circle given its center and radius, graphing circles, rewriting equations in standard form, determining if an equation represents a circle, point or null set, finding equations of circles tangent to lines or passing through points, and finding equations of circles inscribed in or
48 circle part 1 of 2
This document provides a study package on circles for a mathematics class. It begins with an index listing the topics covered, which include theory, revision, exercises, assertion and reason questions, and past examination questions. It then covers circle theory, equations of circles in various forms including parametric and Cartesian, intercepts made by circles on axes, the position of points with respect to circles, lines and circles, and tangents to circles. Examples are provided to illustrate each concept. The document is intended to be a comprehensive resource for students to learn about circles.
L1 Circle.pptx
Conic sections are shapes formed by the intersection of a plane and a double-napped cone. The four types of conic sections are circles, parabolas, ellipses, and hyperbolas. A circle is defined as the set of all points equidistant from a fixed center point in a plane. The standard equation of a circle is (x-h)2 + (y-k)2 = r2, where (h,k) represents the center and r is the radius. This document provides examples of writing and graphing circle equations in standard and general form.
2.2 Circles
Write the equation of a circle given the center and radius
Identify the center and radius of a circle in both center-radius and general form
Write the equation of a circle given the center and a point on the circle
Equation of the circle.ppt
The document discusses the standard equation of a circle. It explains that if the circle is centered at the origin (0,0), the equation is x2 + y2 = r2, where r is the radius. If the circle is not centered at the origin, the equation is (x - h)2 + (y - k)2 = r2, where (h, k) are the coordinates of the center and r is the radius. The document provides examples of writing the equation of a circle given the center and radius. It also demonstrates how to determine if a point lies inside, outside, or on the circle given the equation.
8.1 circles.ppt worked
This document provides instruction on graphing and writing equations for circles. It begins by listing the components needed to graph a circle: the center (h, k) and radius r. Standard circle equation is given as (x - h)2 + (y - k)2 = r2. Several worked examples are shown of identifying center and radius from equations and graphing circles. Students are then asked to graph additional circles on their own and write equations for circles given center and radius. The document concludes by assigning a worksheet as homework.
Nov. 3 Coordinate Equation Of A Circle
The document discusses the coordinate equation of a circle. It states that a circle can be defined as all points that are equidistant from the center point. The standard form of the equation of a circle is r2 = (x - h)2 + (y - k)2, where (h, k) are the coordinates of the center and r is the radius. It provides examples of writing the equation of a circle given properties like the center point and radius or a point on the circle.
Circle.pdf
The document discusses the standard form of the equation of a circle. It can be written as x2 + y2 = r2 if the center is at the origin (0,0), or (x - h)2 + (y - k)2 = r2 if the center is at a point (h,k). Several examples are provided of writing the equation of a circle given its center and radius. The document also discusses determining the radius if the circle is tangent to the x-axis, y-axis, or a line.
2.2 Circles
The document discusses circles and their equations. It defines a circle as all points a given distance from a center point. It explains how to write the equation of a circle given its center and radius. The general form of a circle equation is presented along with examples of completing the square to determine the center and radius from the equation. Characteristics of the radius term in the equation are also covered.
ANAND CLASSES-Best NDA Coaching Center In Jalandhar Punjab-Coaching Classes F...
Call 9463138669- ANAND CLASSES is the only organization that is well known for its best NDA Coaching in Jalandhar Punjab. ANAND CLASSES is a well-established institution that lets the aspiring candidates of the country into the dignified posts offered by the Indian Armed Forces. We offer NDA coaching classes in Jalandhar Punjab and helps the aspiring candidates to secure a renowned position in the three wings of the Indian Armed Forces, i.e. the Army, the Navy and the Air Force.
We guide the students through accumulating an effective study material with frequent mock test sessions along with the doubt clearing sessions organized by the expert faculty. We work on bringing the outstanding result by making the candidates competent enough in handling the extreme pressure of the entrance exam.
We not only focus to improve the written skill set of the candidates as this is not enough to crack the NDA; but also improve the thinking and communication skills. Our pedagogy system includes regular classroom training, testing, doubt remedial, discussion & motivation.
The Particular caliber of skill and talent followed by ANAND CLASSES ensures that every Cadet who joins us for coaching feels fully confident, satisfied, and properly prepared for the exam.
Best Coaching for NDA Written exam in Punjab
To appear for the NDA exam a candidate has to go through a two-phase selection process. One is a written exam other is an SSB interview. ANAND CLASSES is one must explore the Best and Top Institute for Offline or Online NDA Coaching in Jalandhar. With our dedicated faculty, we are able to get remarkable results in past years.
NDA EXAM Coaching in Jalandhar, Best NDA EXAM Coaching in Jalandhar, NDA EXAM Coaching near me, NDA EXAM Coaching center near me, NDA EXAM Coaching center in Jalandhar, NDA EXAM Coaching institute in Jalandhar, NDA EXAM Coaching preparation in Jalandhar, NDA EXAM Coaching classes in Jalandhar, Best NDA EXAM Coaching near me, Best NDA EXAM Coaching center near me, Best NDA EXAM Coaching center in Jalandhar, Best NDA EXAM Coaching institute in Jalandhar, Best NDA EXAM Coaching preparation in Jalandhar, Best NDA EXAM Coaching classes in Jalandhar, NDA EXAM Coaching Jalandhar, Best NDA EXAM Coaching Jalandhar, NDA EXAM Coaching center Jalandhar, NDA EXAM Coaching institute Jalandhar, NDA EXAM Coaching preparation Jalandhar, NDA EXAM Coaching classes Jalandhar, Best Coaching for NDA EXAM, Best Coaching for NDA EXAM in Jalandhar, Coaching for NDA EXAM in Jalandhar, Coaching for NDA EXAM Jalandhar, Best Coaching Center for NDA EXAM, Best Coaching Center for NDA EXAM in Jalandhar, Coaching Center for NDA EXAM in Jalandhar, Coaching Center for NDA EXAM Jalandhar, Best Coaching Institute for NDA EXAM, Best Coaching Institute for NDA EXAM in Jalandhar, Coaching Institute for NDA EXAM in Jalandhar, Coaching Institute for NDA EXAM Jalandhar, Best Coaching Classes for NDA EXAM, Best Coaching Classes for NDA EXAM in Jalandhar
9463138669|NDA Coaching Center In Jalandhar|ANAND CLASSES
NDA EXAM Coaching in Jalandhar, Best NDA EXAM Coaching in Jalandhar, NDA EXAM Coaching near me, NDA EXAM Coaching center near me, NDA EXAM Coaching center in Jalandhar, NDA EXAM Coaching institute in Jalandhar, NDA EXAM Coaching preparation in Jalandhar, NDA EXAM Coaching classes in Jalandhar, Best NDA EXAM Coaching near me, Best NDA EXAM Coaching center near me, Best NDA EXAM Coaching center in Jalandhar, Best NDA EXAM Coaching institute in Jalandhar, Best NDA EXAM Coaching preparation in Jalandhar, Best NDA EXAM Coaching classes in Jalandhar, NDA EXAM Coaching Jalandhar, Best NDA EXAM Coaching Jalandhar, NDA EXAM Coaching center Jalandhar, NDA EXAM Coaching institute Jalandhar, NDA EXAM Coaching preparation Jalandhar, NDA EXAM Coaching classes Jalandhar, Best Coaching for NDA EXAM, Best Coaching for NDA EXAM in Jalandhar, Coaching for NDA EXAM in Jalandhar, Coaching for NDA EXAM Jalandhar, Best Coaching Center for NDA EXAM, Best Coaching Center for NDA EXAM in Jalandhar, Coaching Center for NDA EXAM in Jalandhar, Coaching Center for NDA EXAM Jalandhar, Best Coaching Institute for NDA EXAM, Best Coaching Institute for NDA EXAM in Jalandhar, Coaching Institute for NDA EXAM in Jalandhar, Coaching Institute for NDA EXAM Jalandhar, Best Coaching Classes for NDA EXAM, Best Coaching Classes for NDA EXAM in Jalandhar, Coaching Classes for NDA EXAM in Jalandhar, Coaching Classes for NDA EXAM Jalandhar, Best NDA EXAM Coaching Jalandhar, NDA EXAM Coaching center Jalandhar, NDA EXAM Coaching institute Jalandhar, NDA EXAM Coaching preparation Jalandhar, NDA EXAM Coaching classes Jalandhar, NDA EXAM Coaching Jalandhar, NDA EXAM Coaching center Jalandhar, NDA EXAM Coaching institute Jalandhar, NDA EXAM Coaching preparation Jalandhar, NDA EXAM Coaching classes Jalandhar, Best Coaching Jalandhar, Coaching center Jalandhar, Coaching institute Jalandhar, Coaching preparation Jalandhar, Coaching classes Jalandhar, Coaching Jalandhar, Best Coaching center Jalandhar, Best Coaching institute Jalandhar, Best Coaching preparation Jalandhar, Best Coaching classes Jalandhar, Best NDA EXAM Coaching Jalandhar, Best Coaching Center for NDA EXAM near me, Best Coaching Classes for NDA EXAM near me, Best Coaching Institute for NDA EXAM near me, Coaching Classes for NDA EXAM near me, Coaching Institute for NDA EXAM near me, Coaching Center for NDA EXAM near me, NDA EXAM Coaching in Jalandhar, Best NDA EXAM Coaching in Jalandhar, NDA EXAM Coaching near me, NDA EXAM Coaching center near me, NDA EXAM Coaching center in Jalandhar, NDA EXAM Coaching institute in Jalandhar, NDA EXAM Coaching preparation in Jalandhar, NDA EXAM Coaching classes in Jalandhar
10.6 Equation of the circle in grade 10 math (1).ppt
This document defines a circle and provides the standard equation for a circle. It gives the equation for a circle centered at the origin (x2 + y2 = r2) and a circle not at the origin ((x - h)2 + (y - k)2 = r2). Examples are worked through of writing the equation for a circle given the center and radius, and determining if a point lies inside, outside or on a given circle.
Circle
The document discusses circles and their equations. It defines a circle as all points in a plane that are a fixed distance from a fixed center point. This fixed distance is called the radius. The standard form of a circle equation is (x-h)2 + (y-k)2 = r2, where (h,k) are the coordinates of the center and r is the radius. It also discusses converting between the standard and general forms of a circle equation.
Alg2 lesson 8-3
The document discusses equations for circles. It provides the standard form of a circle equation (x-h)2 + (y-k)2 = r2 where (h,k) represents the center and r is the radius. Examples are given of writing the equation of a circle given the center and radius, finding the center and radius from a circle equation, and determining if a line or point lies on a circle. Diagrams illustrate key concepts like tangency.
Alg2 lesson 8-3
The document discusses equations for circles. It provides the standard form of a circle equation (x-h)2 + (y-k)2 = r2 where (h,k) represents the center and r is the radius. Examples are given of writing the equation of a circle given the center and radius, finding the center and radius from a circle equation, and determining if a line or point lies on a circle. Diagrams illustrate key concepts like tangency.
Grade 10 Math Quarter 2 Equation of the Circle
The document defines a circle as a set of points equidistant from a center point. It provides the standard equation of a circle in general form and for when the center is at the origin. Examples are given of writing the equation of a circle given its center and radius, or center and a point on the circle. The document also shows how to determine if a given point lies inside, outside or on the circle using the standard equation.
Circles any centre
The document discusses finding the equation of a circle given its center and radius. It provides examples of using the formula (x-a)2 + (y-b)2 = r2, where (a,b) is the center and r is the radius, to write the equation for various circles. It also shows how to find the radius and write the equation of a circle passing through two given points using the distance formula. Finally, it provides an example of finding the y-value of a point that lies on a circle with a given center, radius, and the condition that the y-axis is tangent to the circle.
Similar to General equation of a circle (20)
ANAND CLASSES-Best NDA Coaching Center In Jalandhar Punjab-Coaching Classes F...
ANAND CLASSES-Best NDA Coaching Center In Jalandhar Punjab-Coaching Classes F...
9463138669|NDA Coaching Center In Jalandhar|ANAND CLASSES
9463138669|NDA Coaching Center In Jalandhar|ANAND CLASSES
10.6 Equation of the circle in grade 10 math (1).ppt
10.6 Equation of the circle in grade 10 math (1).ppt
More from Janak Singh saud
CURRICULUM SHARING .pdf
This document provides an overview of teaching optional mathematics. It discusses the nature and purpose of optional mathematics, including developing additional knowledge and skills beyond compulsory mathematics. It outlines general objectives like introducing functions and graphs. Techniques like demonstration, problem-solving, and cooperative learning are described. Materials include textbooks, practice books, and GeoGebra. Students will be evaluated through methods like observation, participation, practicums, tests, and formative/summative assessments.
Function : Introduction
1. The document discusses functions and their key properties. It provides examples of functions represented using tables, ordered pairs, arrow diagrams, graphs and formulas.
2. A function is defined as a relation where each element of the domain (set A) is mapped to only one element of the co-domain (set B). The domain is the set of inputs, the range is the set of outputs, and the co-domain is the entire set of possible outputs.
3. Examples show how to identify if a relation is a function, find the domain, range and co-domain of functions, and represent functions in different formats. Key aspects like pre-images and functional values are also explained.
#Triangle : Experimental verification of properties of triangle
Verify experimentally that the sum of sum of interior angles of a triangle is 180 degree
Verify experimentally that Base angles of an isosceles triangle are always equal
Verify that the Interior angles of an equilateral triangle are always 60 degree
Verify experimentally that the Base angles of an isosceles right angled triangle are 45 degree
Verify experimentally that The line joining from vertex of an isosceles triangle to join the mid-point of the base is perpendicular to the base
In slide No. 29, In figure ABCD is an equilateral triangle is wrong. Please change into ABD is an equilateral triangle.
FUNCTION- Algebraic Function
This document defines and provides examples of different types of algebraic functions, including linear, constant, identity, quadratic, and cubic functions. A function is defined as a relation where each input has a unique output. Linear functions are of degree one and can be written as y=mx+c. Constant functions are in the form f(x)=c. Identity functions map each element to itself so the domain and range are the same. Quadratic functions are of degree two and have the form f(x)=ax^2+bx+c. Cubic functions are of degree three and written as f(x)=ax^3+bx^2+cx+d. Examples and graphs are provided for each type of function
Types of RELATIONS
The document discusses different types of relations, including reflexive, symmetric, transitive, and equivalence relations. It provides examples of each type of relation and defines their key properties. Inverse relations are also discussed, where the ordered pairs of a relation R are reversed to form the inverse relation R-1. An example demonstrates finding the domain, range, and inverse of a given relation defined by an equation.
Domain and range of a RELATION
The document discusses domain and range of relations. It provides examples of relations between sets A and B where the domain is the set of first elements of the ordered pairs in the relation and the range is the set of second elements. For the relation R = {(x, y): y = x^2} with x belonging to the set {2}, the domain is {2} and the range is {4}. The document also discusses how to find the range of a relation when the relation is defined by an equation involving x and y.
ORDERED PAIR
1) The document discusses ordered pairs and equality of ordered pairs. It provides examples of solving systems of equations that relate ordered pairs and finding the values of variables that make ordered pairs equal.
2) An ordered pair (a,b) is equal to another ordered pair (c,d) if and only if a = c and b = d. The order of the elements matters, so (a,b) is not the same as (b,a).
3) Examples show how to set ordered pairs equal to each other and solve the resulting systems of equations to find the values of variables that make the ordered pairs equal.
RELATION
The document defines and provides examples of relations between sets. It begins by defining a relation as a connection between two or more objects. It then provides examples of relations using sets of countries and cities, where the relation is "capital of". It represents this relation using ordered pairs and diagrams. It discusses properties of relations, including that a relation from set A to B is a subset of the Cartesian product of A and B. It provides several examples of representing different relations using ordered pairs, diagrams, tables, and descriptions. It finds relations based on criteria like "is less than" or "is equal to". Finally, it represents a few example relations between sets using different methods like ordered pairs, diagrams, and tables.
Cartesian product of two sets
This material will useful for school level students .
If you want to download this material, Please send me a mail or comment
INVERSE FUNCTION
The document discusses functions and their inverses through examples. It begins with definitions of different types of functions and examples showing interchange of domain and range. It then works through examples of finding the inverse of different functions by interchanging domain and range. Homework is assigned involving finding the inverses of additional functions and evaluating the inverse at a point.
Standard deviation :grouped data/Continuous data
Study material for S.E.E Students
Secondary Education Board, Nepal
Optional Mathematics: Statistics
Mean deviation :individual and discrete data
1) This document discusses formulas and calculations for mean deviation and mean deviation from the median. It provides examples of calculating mean deviation from the mean and median for both individual and discrete data sets.
2) Mean deviation from the mean is calculated as the sum of the deviations of individual values from the mean, divided by the sample size. Coefficient of mean deviation from the mean is the mean deviation divided by the mean.
3) Median deviation is similarly defined, but uses the median rather than the mean as the point of comparison. Examples are provided to demonstrate calculating mean and median deviation for different data sets.
Vector
Optional Mathematics [SLC Board, Nepal]
Prepared By: JANAK SINGH SAUD
E-mail: sjanaksingh@gmail.com
facebook ID: sjanaksingh@yahoo.com [https://www.facebook.com/janaksinghsaud]
Institute: Kanjirowa National Higher Secondary School, Balkumari, Koteshwor, Kathmandu (NEPAL)
Equation of a circle on some special cases
1) The document discusses different cases of circles and how to find their equations: when touching axes, passing through the origin, or touching a line. Equations are derived using properties of circles like radius, diameter, and perpendicular lines.
2) An example shows finding the equation of a circle with center (-3, -4) touching the x-axis.
3) Cases covered include circles touching x-axis, y-axis, both axes, passing through origin, and touching a line ax + by + c = 0. Radius and perpendicular properties are used to set up and solve the equation in each case.
Trigonometry Exploration
By: Aawesh Bhadra Karn & Prabesh Kafle
Kanjirowa National H. S. School, Balkumari, Kathmandu , Nepal
Trigonometry Exploration
This document is a slideshow presentation on trigonometry given by Anjaya Bhattarai. The presentation provides definitions of trigonometry, a brief history of the subject, descriptions of right triangles and trigonometric ratios. It also covers Pythagoras' theorem, its proof, and uses of trigonometry. The objective is to clarify basic trigonometry concepts and solve any confusion. In conclusion, trigonometry measures triangle sides and angles through important formulas, and it has many applications in fields like engineering, navigation, and more.
Trigonometry Exploration
This document summarizes an exploration of trigonometry done by a group of 7th grade students. It begins by listing the group members and thanking their teacher and math department for the opportunity. It then provides definitions of trigonometry, describing it as a part of mathematics dealing with angles, triangles, and trigonometric functions like sine, cosine, and tangent. The bulk of the document explains the six trigonometric ratios and their reciprocals, defining them in terms of right triangles and providing examples of how to calculate each ratio. It concludes by asking if the reader has any questions.
Trigonometry Exploration
The document discusses the six trigonometric functions - sine, cosine, tangent, cotangent, secant, and cosecant. It thanks Mr. Janak Singh Saud and the maths department for their support. It defines the six trigonometric functions and their abbreviations. It explains that these functions help find missing information in right triangles by relating one side to another using ratios like sine, cosine, and tangent.
Trigonometry Exploration
The document discusses trigonometry and provides definitions and examples of its uses. It defines trigonometry as the branch of mathematics dealing with relationships involving lengths and angles of triangles. It then gives examples of how trigonometry is used in fields like navigation, architecture, engineering, and game development. It also provides information on trigonometric functions like sine waves and their importance in fields like physics and signal processing.
Trigonometry Exploration
This document summarizes a student project on trigonometry. It was created by a class of 10 students along with their math teacher to help students learn trigonometry through practical experiments and research. The project covers the basics of trigonometry including definitions, history, applications like measuring inaccessible heights, and examples of using trigonometric functions and identities to solve problems.
More from Janak Singh saud (20)
#Triangle : Experimental verification of properties of triangle
#Triangle : Experimental verification of properties of triangle
Recently uploaded
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
Let’s explore the intersection of technology and equity in the final session of our DEI series. Discover how AI tools, like ChatGPT, can be used to support and enhance your nonprofit's DEI initiatives. Participants will gain insights into practical AI applications and get tips for leveraging technology to advance their DEI goals.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar KanvariaBÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...Nguyen Thanh Tu Collection
https://app.box.com/s/y977uz6bpd3af4qsebv7r9b7s21935vdclinical examination of hip joint (1).pdf
described clinical examination all orthopeadic conditions .
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
The History of Stoke Newington Street Names
Presented at the Stoke Newington Literary Festival on 9th June 2024
www.StokeNewingtonHistory.com
The Diamonds of 2023-2024 in the IGRA collection
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
Hindi varnamala | hindi alphabet PPT.pdf
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
PCOS corelations and management through Ayurveda.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS Template 2023-2024 by: Irene S. Rueco
Main Java[All of the Base Concepts}.docx
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
How to Build a Module in Odoo 17 Using the Scaffold Method
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
Digital Artifact 1 - 10VCD Environments Unit
Digital Artifact 1 - 10VCD Environments Unit - NGV Pavilion Concept Design
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...National Information Standards Organization (NISO)
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.Recently uploaded (20)
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
বাংলাদেশ অর্থনৈতিক সমীক্ষা (Economic Review) ২০২৪ UJS App.pdf
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
General equation of a circle
- 1. The equation of a circle with center (h, k) and radius r is (x – h)2 + (y – k)2 = r2 Putting, - 2h = 2g, - 2k = 2f and (h2 + k2 – r2 ) = c, then x2 + y2 + 2gx + 2fy + c = 0 This is the general equation of a circle Now, simplifying this equation or, x2 – 2hx + h2 + y2 - 2ky + k2 = r2 or, x2 + y2 – 2hx – 2ky + h2 + k2 – r2 = 0
- 2. Some Examples x2 + y2 - 10x – 2y + 10 = 0 X2 + y2 + 10x – 2y + 17 = 0
- 3. • The general equation of a circle is • x2 + y2 + 2gx + 2fy + c = 0 • or, x2 + 2gx + y2 + 2fy = - c • or, x2 + 2.x.g + g2 + y2 + 2.y.f2 + f2 = g2 + f2 – c • or, (x + g)2 + (y + f)2 = g2 + f2 – c Comparing this equation with the equation (x – h)2 + (y – k)2 = r2, we get Hence, the center of the circle (h, k) = (- g, - f)
- 4. Find the center and radius of the circle represented by x2 + y2 + 4x – 6y + 4 = 0 • The equation of a circle is x2 + y2 + 4x – 6y + 4 = 0 • Comparing with the equation x2 + y2 + 2gx + 2fy + c = 0, we get • 2g = 4 i.e. g = 2; 2f = - 6 i.e. f = - 3 and c = 4 Therefore, center (h,k) = (-g,-f) = (-2, -(-3) = (-2,3) = = 3 units