Geometrycal figures
•Download as PPTX, PDF•
0 likes•172 views
This document defines and provides formulas for calculating properties of common geometric shapes including circles, triangles, rectangles, squares, spheres, and cylinders. Circles are defined as all points equidistant from a fixed point, and formulas are given for calculating a circle's area as πr^2 and perimeter as 2πr. Triangles are defined as three-sided polygons with three angles, and the formula for calculating a triangle's area is given as 1/2 * base * height. Formulas are also provided for calculating the area and perimeter of rectangles, the area and perimeter of squares, the surface area and volume of spheres, and the surface area of cylinders.
Report
Share
Report
Share
Recommended
How to calculate the area of a triangle
The space that is occupied by a flat shape or the surface of an object. The standard unit of measurement is mostly either ㎡ or cm2. We are going to discuss the Area of triangles here
Power point presentation PIYUSH BHANDARI
3-D shapes have length, width, and height. A cube has 6 faces, 12 edges, and 8 vertices. The surface area of a cube can be found by calculating the area of each face, which is the length squared, and multiplying by 6 since there are 6 faces. The surface area of other 3-D shapes like cuboids and cylinders can be found by calculating the total area of all faces, such as using the formula for a cuboid of 2 times the length times width plus 2 times the height times width plus 2 times the length times height. The surface area of a cylinder is 2 times pi times the radius times the height plus 2 times pi times the radius squared.
Names of polygons
The document defines various polygons based on their number of sides and interior angles. It also defines types of triangles based on their angles and sides. It provides formulas for finding missing angles of triangles and quadrilaterals. Additionally, it defines complementary, supplementary and trigonometric ratios. It concludes by explaining how to calculate the areas of various shapes including squares, rectangles, parallelograms, trapezoids and triangles. It also provides formulas for finding perimeters, circumferences, surface areas and volumes of various 3D shapes like cubes, prisms, cylinders, pyramids, cones, spheres.
Section 3 4 major points classifying triangles
This document discusses triangles and their properties. It defines different types of triangles based on their sides and angles. The three main points are:
1) The sum of the measures of the angles of any triangle is 180 degrees.
2) There are several corollaries that follow from the fact that triangle angles sum to 180 degrees, such as if two angles are congruent the third must also be congruent.
3) The Exterior Angle Theorem states that the measure of an exterior angle of a triangle equals the sum of the remote interior angles.
Circles(1)
The document provides information about calculating geometric properties of circles such as circumference, area, perimeter and area of sectors, as well as the volumes of cylinders. It includes formulas, examples of calculations, and multiple choice questions to test understanding. Key formulas covered include circumference = π x diameter, area of a circle = π x radius^2, area of a sector = (angle of sector/360) x π x radius^2, and volume of a cylinder = area of base x height. The document provides a review of foundational circle geometry concepts through examples, practice questions, and matching definitions to geometric terms.
Triangle classification ok1296542905
This document discusses two ways to classify triangles: by their sides and by their angles. Triangles can be classified by their sides as scalene, with no equal sides, or isosceles, with at least two equal sides. They can also be classified by their angles as acute, with all angles less than 90 degrees; right, with one 90 degree angle; or obtuse, with one angle greater than 90 degrees. Examples are given to classify triangles under each system.
Triangles and it's properties
this is a power point presentation related to the topic triangle and it's properties on the subject math
'like and support'
02 geometry
This document provides definitions and formulas for calculating geometric properties of basic two-dimensional shapes such as triangles, rectangles, circles, trapezoids, and parallelograms. It also includes formulas for calculating volumes and surface areas of three-dimensional objects like cubes, spheres, cylinders, cones, and pyramids. Additionally, it discusses properties related to angles of intersection for lines and parallel lines, angle relationships in triangles, similarity of triangles, and the Pythagorean theorem.
Recommended
How to calculate the area of a triangle
The space that is occupied by a flat shape or the surface of an object. The standard unit of measurement is mostly either ㎡ or cm2. We are going to discuss the Area of triangles here
Power point presentation PIYUSH BHANDARI
3-D shapes have length, width, and height. A cube has 6 faces, 12 edges, and 8 vertices. The surface area of a cube can be found by calculating the area of each face, which is the length squared, and multiplying by 6 since there are 6 faces. The surface area of other 3-D shapes like cuboids and cylinders can be found by calculating the total area of all faces, such as using the formula for a cuboid of 2 times the length times width plus 2 times the height times width plus 2 times the length times height. The surface area of a cylinder is 2 times pi times the radius times the height plus 2 times pi times the radius squared.
Names of polygons
The document defines various polygons based on their number of sides and interior angles. It also defines types of triangles based on their angles and sides. It provides formulas for finding missing angles of triangles and quadrilaterals. Additionally, it defines complementary, supplementary and trigonometric ratios. It concludes by explaining how to calculate the areas of various shapes including squares, rectangles, parallelograms, trapezoids and triangles. It also provides formulas for finding perimeters, circumferences, surface areas and volumes of various 3D shapes like cubes, prisms, cylinders, pyramids, cones, spheres.
Section 3 4 major points classifying triangles
This document discusses triangles and their properties. It defines different types of triangles based on their sides and angles. The three main points are:
1) The sum of the measures of the angles of any triangle is 180 degrees.
2) There are several corollaries that follow from the fact that triangle angles sum to 180 degrees, such as if two angles are congruent the third must also be congruent.
3) The Exterior Angle Theorem states that the measure of an exterior angle of a triangle equals the sum of the remote interior angles.
Circles(1)
The document provides information about calculating geometric properties of circles such as circumference, area, perimeter and area of sectors, as well as the volumes of cylinders. It includes formulas, examples of calculations, and multiple choice questions to test understanding. Key formulas covered include circumference = π x diameter, area of a circle = π x radius^2, area of a sector = (angle of sector/360) x π x radius^2, and volume of a cylinder = area of base x height. The document provides a review of foundational circle geometry concepts through examples, practice questions, and matching definitions to geometric terms.
Triangle classification ok1296542905
This document discusses two ways to classify triangles: by their sides and by their angles. Triangles can be classified by their sides as scalene, with no equal sides, or isosceles, with at least two equal sides. They can also be classified by their angles as acute, with all angles less than 90 degrees; right, with one 90 degree angle; or obtuse, with one angle greater than 90 degrees. Examples are given to classify triangles under each system.
Triangles and it's properties
this is a power point presentation related to the topic triangle and it's properties on the subject math
'like and support'
02 geometry
This document provides definitions and formulas for calculating geometric properties of basic two-dimensional shapes such as triangles, rectangles, circles, trapezoids, and parallelograms. It also includes formulas for calculating volumes and surface areas of three-dimensional objects like cubes, spheres, cylinders, cones, and pyramids. Additionally, it discusses properties related to angles of intersection for lines and parallel lines, angle relationships in triangles, similarity of triangles, and the Pythagorean theorem.
Mat_4rt_UD4_Plane figures
This document provides definitions and information about plane figures and polygons for 4th grade math. It defines polygons as closed polygonal lines with an interior, and lists the most common polygons as triangles and quadrilaterals. It explains that polygons are classified by the number of sides, and defines key terms like diagonal, perimeter, and types of triangles and quadrilaterals. The document also covers circles, their parts, and how to use a compass to draw circles.
Triangles
Triangles have three non-collinear points called vertices and three segments connecting them called sides. A triangle is named by listing its three vertices, usually in clockwise order. Triangles are classified based on sides as equilateral, isosceles, or scalene and based on angles as acute, right, obtuse, or equiangular. The sum of the interior angles of any triangle is always 180 degrees. Exterior angles of a triangle are supplementary to their adjacent interior angles.
11.2 and11.4 Surface Area and Volume Prisms
The document provides information about surface area and volume of 3D shapes. It defines polyhedrons, prisms, cylinders, and their key components. It explains how to calculate the surface area of prisms and cylinders by finding the sum of the lateral area and base areas. It also explains how to calculate the volume of prisms and cylinders by multiplying the area of the base by the height. Students are assigned 17 homework problems calculating surface areas and volumes of various prisms and cylinders.
Geometry theorem triangles and Circles
Here are some important formulas on Congruent Triangles, Exterior Angles, Equal sides, Circle (Arc Theorem), Tangent.
Triangle
This document provides information about different types of triangles categorized by side lengths, angle measures, and combinations of sides and angles. It defines equilateral, isosceles, scalene, right, acute, and obtuse triangles. Examples are given to illustrate each type. Formulas for calculating the perimeter and area of triangles are presented. Exercises are included for the student to practice determining perimeters, areas, and drawing different triangle types.
11 2 arcs and central angles lesson
This document discusses arcs and central angles in circles. It defines arcs as curved lines formed when two sides of a central angle meet at the center of a circle. There are three types of arcs: minor arcs are inside the central angle and measure less than 180 degrees; major arcs are outside the central angle; and semicircles measure 180 degrees. The measure of an arc depends on its type and the measure of the corresponding central angle. Rules are provided for calculating arc measures using central angles and properties of adjacent arcs. Examples demonstrate finding arc measures using these rules and properties of circles.
Plano numerico
This document discusses several topics in geometry including:
- The distance formula to calculate the distance between two points given their coordinates.
- The midpoint formula to find the midpoint of a line segment given the coordinates of the endpoints.
- Equations of lines and circles.
- How to draw an arc or full circle passing through three non-collinear points.
- Definitions and properties of parabolas, hyperbolas, ellipses, and conic sections - curves formed by intersecting a cone with a plane.
- How to represent the equations of conic sections graphically.
Area and circumference of circles
This document defines key terms and formulas related to circles, including circumference and area. It defines a circle as all points equidistant from a given center point. The radius is the distance from the center to the edge, and the diameter runs through the center. Circumference is defined as the distance around the circle and is calculated using either C=2πr or C=πd. Area is calculated as A=πr^2. Several examples are provided to demonstrate calculating circumference and area using these formulas.
Geometry and the Circles -Jessica Buzza
The document defines key terms related to circles such as radius, diameter, and circumference. It explains that a radius is the distance from the center of a circle to its edge, while the diameter is the distance across the circle through the center. It notes that the circumference is the distance around the circle and provides formulas for calculating circumference using either the diameter or radius.
Triangles
This document defines and explains different types of triangles based on their sides and angles. It discusses equilateral, isosceles, scalene, right, obtuse, and acute triangles. It also covers calculating the perimeter, area, altitude, median, angle bisector, and inscribed/circumscribed triangles. Formulas are provided for calculating the altitude, median, angle bisector, and area using different known properties of triangles. Sample problems are included at the end to test understanding.
Triangle ppt
This document provides an overview of triangles, including definitions, types, properties, secondary parts, congruency, and area calculations. It defines a triangle as a 3-sided polygon with three angles and vertices. Triangles are classified by side lengths as equilateral, isosceles, or scalene, and by angle measures as acute, obtuse, or right. Key properties discussed include the angle sum theorem, exterior angle theorem, and Pythagorean theorem. Secondary parts like medians, altitudes, perpendicular bisectors, and angle bisectors are also defined. Tests for triangle congruency such as SSS, SAS, ASA, and RHS are outlined. Formulas are provided for calculating the areas of
Geom12point2and3 97
The document summarizes different types of geometric solids and how to calculate their surface areas. It discusses prisms, cylinders, pyramids, cones, and spheres. For each solid, it defines key terms like base, height, lateral face, radius, and provides the surface area formulas. Examples are included to demonstrate calculating the surface area of different solids.
Triangle
Triangles have three sides and three interior angles. They can be classified based on side length as equilateral (all sides equal), isosceles (two sides equal), or scalene (all sides unequal). Triangles can also be classified based on angle measures as acute (all angles less than 90 degrees), right (one angle of 90 degrees), or obtuse (one angle greater than 90 degrees). The Pythagorean theorem can be used to calculate the length of the hypotenuse (longest side) of a right triangle given the lengths of the other two sides. The area of any triangle can be calculated by multiplying the base by the height.
Problems in-plane-geometry-Sharygin
This document is the preface and table of contents for a book titled "Problems in Plane Geometry" that contains over 600 geometry problems divided into two sections. The preface provides background on the book, noting it contains both simple and more challenging problems, with detailed solutions. The table of contents outlines the chapters and topics covered, including fundamental theorems, loci of points, triangles, circles, polygons, and inequalities. The book is a collection of puzzles aimed at demonstrating elegant techniques in elementary geometry.
Angles and sides of a triangle
The document discusses the relationships between angles and sides in triangles. The longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Triangles can be classified as right, acute, or obtuse based on comparing the sum of the squares of two sides to the square of the third side - right if equal, acute if greater than, and obtuse if less than. Examples are given to demonstrate classifying triangles as acute or obtuse.
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.
Circle
A circle is a simple shape consisting of all points equidistant from a central point. The circumference of a circle is related to its diameter and radius by the formula C=2πr=πd, where π is an irrational constant approximating 3.14. Key terms include diameter, radius, chord, tangent, and secant. Circles have been studied since ancient times and are the basis of important inventions like the wheel. Various theorems govern relationships between elements of circles such as chords, secants, and tangents.
Circle presentation
This document provides information about circles and spheres. It defines circles as 2D shapes with all points equidistant from the center. It describes circle components like radius, diameter, circumference, arcs, and sectors. Formulas are given for circumference as 2πr or πd, arc length as rθ, sector area as 1/2r2θ, and segment area as sector area minus triangle area. The document also defines spheres as 3D shapes that are circular surfaces. Formulas given for sphere surface area as 4πr2 and volume as (4/3)πr3. Examples are provided for using the circumference, arc length, sector area, and surface area/volume formulas.
Conversion
1. This document provides information on unit conversions for mass, volume, length, and temperature using conversion charts and formulas.
2. Examples are given to demonstrate how to use the conversion charts to change between units like mg, g, km, m, mL, L, °C, °F, and K.
3. Key temperature conversion formulas are outlined to change between Celsius, Fahrenheit, and Kelvin scales, and notable temperature values are listed.
48 factoring out the gcf and the grouping method
The document discusses factoring quantities and finding common factors and greatest common factors (GCF). It provides examples of factoring numbers like 12 and finding the common factors and GCF of expressions. Factoring means rewriting a quantity as a product without 1. A common factor is one that belongs to all quantities, and the GCF is the largest common factor considering coefficients and degrees of factors. Examples show finding the common factors of expressions and the GCF of quantities like 24 and 36.
Examples of gcf and lcm to practice in class
The document provides examples of finding the greatest common factor (GCF) and least common multiple (LCM) of different numbers. It lists 7 exercises asking the reader to find the GCF and LCM of specific sets of numbers, including 12, 15, and 18 in the first exercise and 25, 75, and 200 in the last exercise. The exercises are intended to help the reader practice finding GCF and LCM at home.
Workbook in Polygons and Space figures
Here is the completed table:
Numbers of sides of Number of diagonals from Total number of diagonals
polygons each vertex
3 0 0
4 1 2
5 3 10
6 6 15
7 10 35
8 15 56
9 21 91
10 28 120
11 36 165
12 45 210
contents back next
Name:_______________________________ Score: ____
Year/section: ____________ Date: _____
ACTIVITY 10
Instruction: Find the perimeter of each polygon.
1. Rectangle with length = 8 cm and width = 5
More Related Content
What's hot
Mat_4rt_UD4_Plane figures
This document provides definitions and information about plane figures and polygons for 4th grade math. It defines polygons as closed polygonal lines with an interior, and lists the most common polygons as triangles and quadrilaterals. It explains that polygons are classified by the number of sides, and defines key terms like diagonal, perimeter, and types of triangles and quadrilaterals. The document also covers circles, their parts, and how to use a compass to draw circles.
Triangles
Triangles have three non-collinear points called vertices and three segments connecting them called sides. A triangle is named by listing its three vertices, usually in clockwise order. Triangles are classified based on sides as equilateral, isosceles, or scalene and based on angles as acute, right, obtuse, or equiangular. The sum of the interior angles of any triangle is always 180 degrees. Exterior angles of a triangle are supplementary to their adjacent interior angles.
11.2 and11.4 Surface Area and Volume Prisms
The document provides information about surface area and volume of 3D shapes. It defines polyhedrons, prisms, cylinders, and their key components. It explains how to calculate the surface area of prisms and cylinders by finding the sum of the lateral area and base areas. It also explains how to calculate the volume of prisms and cylinders by multiplying the area of the base by the height. Students are assigned 17 homework problems calculating surface areas and volumes of various prisms and cylinders.
Geometry theorem triangles and Circles
Here are some important formulas on Congruent Triangles, Exterior Angles, Equal sides, Circle (Arc Theorem), Tangent.
Triangle
This document provides information about different types of triangles categorized by side lengths, angle measures, and combinations of sides and angles. It defines equilateral, isosceles, scalene, right, acute, and obtuse triangles. Examples are given to illustrate each type. Formulas for calculating the perimeter and area of triangles are presented. Exercises are included for the student to practice determining perimeters, areas, and drawing different triangle types.
11 2 arcs and central angles lesson
This document discusses arcs and central angles in circles. It defines arcs as curved lines formed when two sides of a central angle meet at the center of a circle. There are three types of arcs: minor arcs are inside the central angle and measure less than 180 degrees; major arcs are outside the central angle; and semicircles measure 180 degrees. The measure of an arc depends on its type and the measure of the corresponding central angle. Rules are provided for calculating arc measures using central angles and properties of adjacent arcs. Examples demonstrate finding arc measures using these rules and properties of circles.
Plano numerico
This document discusses several topics in geometry including:
- The distance formula to calculate the distance between two points given their coordinates.
- The midpoint formula to find the midpoint of a line segment given the coordinates of the endpoints.
- Equations of lines and circles.
- How to draw an arc or full circle passing through three non-collinear points.
- Definitions and properties of parabolas, hyperbolas, ellipses, and conic sections - curves formed by intersecting a cone with a plane.
- How to represent the equations of conic sections graphically.
Area and circumference of circles
This document defines key terms and formulas related to circles, including circumference and area. It defines a circle as all points equidistant from a given center point. The radius is the distance from the center to the edge, and the diameter runs through the center. Circumference is defined as the distance around the circle and is calculated using either C=2πr or C=πd. Area is calculated as A=πr^2. Several examples are provided to demonstrate calculating circumference and area using these formulas.
Geometry and the Circles -Jessica Buzza
The document defines key terms related to circles such as radius, diameter, and circumference. It explains that a radius is the distance from the center of a circle to its edge, while the diameter is the distance across the circle through the center. It notes that the circumference is the distance around the circle and provides formulas for calculating circumference using either the diameter or radius.
Triangles
This document defines and explains different types of triangles based on their sides and angles. It discusses equilateral, isosceles, scalene, right, obtuse, and acute triangles. It also covers calculating the perimeter, area, altitude, median, angle bisector, and inscribed/circumscribed triangles. Formulas are provided for calculating the altitude, median, angle bisector, and area using different known properties of triangles. Sample problems are included at the end to test understanding.
Triangle ppt
This document provides an overview of triangles, including definitions, types, properties, secondary parts, congruency, and area calculations. It defines a triangle as a 3-sided polygon with three angles and vertices. Triangles are classified by side lengths as equilateral, isosceles, or scalene, and by angle measures as acute, obtuse, or right. Key properties discussed include the angle sum theorem, exterior angle theorem, and Pythagorean theorem. Secondary parts like medians, altitudes, perpendicular bisectors, and angle bisectors are also defined. Tests for triangle congruency such as SSS, SAS, ASA, and RHS are outlined. Formulas are provided for calculating the areas of
Geom12point2and3 97
The document summarizes different types of geometric solids and how to calculate their surface areas. It discusses prisms, cylinders, pyramids, cones, and spheres. For each solid, it defines key terms like base, height, lateral face, radius, and provides the surface area formulas. Examples are included to demonstrate calculating the surface area of different solids.
Triangle
Triangles have three sides and three interior angles. They can be classified based on side length as equilateral (all sides equal), isosceles (two sides equal), or scalene (all sides unequal). Triangles can also be classified based on angle measures as acute (all angles less than 90 degrees), right (one angle of 90 degrees), or obtuse (one angle greater than 90 degrees). The Pythagorean theorem can be used to calculate the length of the hypotenuse (longest side) of a right triangle given the lengths of the other two sides. The area of any triangle can be calculated by multiplying the base by the height.
Problems in-plane-geometry-Sharygin
This document is the preface and table of contents for a book titled "Problems in Plane Geometry" that contains over 600 geometry problems divided into two sections. The preface provides background on the book, noting it contains both simple and more challenging problems, with detailed solutions. The table of contents outlines the chapters and topics covered, including fundamental theorems, loci of points, triangles, circles, polygons, and inequalities. The book is a collection of puzzles aimed at demonstrating elegant techniques in elementary geometry.
Angles and sides of a triangle
The document discusses the relationships between angles and sides in triangles. The longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. Triangles can be classified as right, acute, or obtuse based on comparing the sum of the squares of two sides to the square of the third side - right if equal, acute if greater than, and obtuse if less than. Examples are given to demonstrate classifying triangles as acute or obtuse.
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.
Circle
A circle is a simple shape consisting of all points equidistant from a central point. The circumference of a circle is related to its diameter and radius by the formula C=2πr=πd, where π is an irrational constant approximating 3.14. Key terms include diameter, radius, chord, tangent, and secant. Circles have been studied since ancient times and are the basis of important inventions like the wheel. Various theorems govern relationships between elements of circles such as chords, secants, and tangents.
Circle presentation
This document provides information about circles and spheres. It defines circles as 2D shapes with all points equidistant from the center. It describes circle components like radius, diameter, circumference, arcs, and sectors. Formulas are given for circumference as 2πr or πd, arc length as rθ, sector area as 1/2r2θ, and segment area as sector area minus triangle area. The document also defines spheres as 3D shapes that are circular surfaces. Formulas given for sphere surface area as 4πr2 and volume as (4/3)πr3. Examples are provided for using the circumference, arc length, sector area, and surface area/volume formulas.
What's hot (18)
Viewers also liked
Conversion
1. This document provides information on unit conversions for mass, volume, length, and temperature using conversion charts and formulas.
2. Examples are given to demonstrate how to use the conversion charts to change between units like mg, g, km, m, mL, L, °C, °F, and K.
3. Key temperature conversion formulas are outlined to change between Celsius, Fahrenheit, and Kelvin scales, and notable temperature values are listed.
48 factoring out the gcf and the grouping method
The document discusses factoring quantities and finding common factors and greatest common factors (GCF). It provides examples of factoring numbers like 12 and finding the common factors and GCF of expressions. Factoring means rewriting a quantity as a product without 1. A common factor is one that belongs to all quantities, and the GCF is the largest common factor considering coefficients and degrees of factors. Examples show finding the common factors of expressions and the GCF of quantities like 24 and 36.
Examples of gcf and lcm to practice in class
The document provides examples of finding the greatest common factor (GCF) and least common multiple (LCM) of different numbers. It lists 7 exercises asking the reader to find the GCF and LCM of specific sets of numbers, including 12, 15, and 18 in the first exercise and 25, 75, and 200 in the last exercise. The exercises are intended to help the reader practice finding GCF and LCM at home.
Workbook in Polygons and Space figures
Here is the completed table:
Numbers of sides of Number of diagonals from Total number of diagonals
polygons each vertex
3 0 0
4 1 2
5 3 10
6 6 15
7 10 35
8 15 56
9 21 91
10 28 120
11 36 165
12 45 210
contents back next
Name:_______________________________ Score: ____
Year/section: ____________ Date: _____
ACTIVITY 10
Instruction: Find the perimeter of each polygon.
1. Rectangle with length = 8 cm and width = 5
Discovering the Formula for Volume of a Sphere
This is the slide deck for the YouTube animation showing where the formula for volume of a sphere comes from.
Understanding negative numbers
The document discusses negative numbers and how they relate to temperature scales. It provides examples of number lines that extend to the left of zero to demonstrate negative numbers. It then shows vertical and horizontal temperature scales and asks questions about finding missing numbers and comparing temperatures on the scales. Finally, it asks the reader to order a set of numbers from coldest to warmest based on their position on the temperature scale.
Perimeter, Area, & Volume of a square/rectange/ cube
The document discusses perimeter, area, and volume formulas for rectangles and squares. It introduces the formulas for perimeter (P=2l+2w), area (A=L*W), and volume (V=L*W*H) of rectangles and squares. Examples are provided to practice calculating perimeter, area, and volume. The lesson concludes with a jeopardy game to review the formulas.
Units conversion CBSE UGC JRF/NET
1. The document discusses various units of measurement used in environmental sciences, including fundamental, basic, and derived units. It describes the British, CGS, and SI (metric) systems of units.
2. Conversion factors are provided between common units like meters to feet, kilograms to pounds, and Celsius to Fahrenheit. Prefixes are explained for expressing extremely large and small quantities.
3. Methods for unit conversion and calculating concentration of substances in water and air are demonstrated through examples. Concentration units include mg/L, μg/L, ppm, percent, and mg/m3.
4. Information is provided on SatGur Masters Academy, which offers study material, online classes, and
Units of measurement
This document discusses units of measurement and significant figures. It introduces the International System of Units (SI) which uses standard units like meters, kilograms, and seconds that are based on precise properties. Prefixes indicate powers of ten. Mass is a measure of matter, while weight varies by location. Volume is space occupied and is often measured in liters or milliliters. Conversion between units uses dimensional analysis. Measurements have uncertainty related to accuracy and precision. Significant figures determine the precision of calculations based on counting digits and rounding appropriately during arithmetic operations.
Direct, indirect and partitive proportion
The document contains 10 word problems involving ratios, proportions, and other mathematical concepts. The problems cover topics like earning rates, sharing amounts, consumption rates, work rates, prices, and dividing prizes. Each problem clearly lays out the relevant information, sets up the appropriate proportion, and solves for the unknown value.
3D Figures- volume and surface area
The document discusses volume and surface area of 3D figures. It provides formulas for finding the volume of prisms and cylinders by multiplying the area of the base by the height. Surface area is defined as the total area of all surfaces of a 3D shape, and formulas are given for calculating the surface area of prisms and cylinders. Examples are included to demonstrate using the formulas to find volume and surface area.
Factoring the greatest common monomial factor
This document discusses factoring polynomials by finding the greatest common factor (GCF). It explains that factoring a polynomial is the reverse of multiplying a monomial and polynomial. Examples are provided of factoring polynomials by identifying the GCF and rewriting the polynomial as a product of the GCF and other factors. The process of factoring out the GCF is demonstrated step-by-step for several examples.
surface area and volume class 10
1. The document provides formulas and examples for calculating surface areas and volumes of various 3D shapes including cubes, cuboids, cylinders, cones, and spheres.
2. Formulas given include lateral surface area, total surface area, and volume of cubes; lateral surface area, total surface area, and volume of cuboids; curved surface area, total surface area, and volume of cylinders; curved surface area, total surface area, and volume of cones; and surface area and volume of spheres.
3. Examples provided demonstrate using the formulas to calculate dimensions or quantities for various word problems involving the different 3D shapes.
Volume Powerpoint
This document discusses 2D and 3D shapes and introduces the concept of volume. It asks students to identify 2D shapes like triangles, squares, and circles in the classroom and draw examples of 3D shapes like prisms, cubes, spheres and cylinders from books. It then prompts students to discuss in pairs what volume is, when it is used, and why it is needed. The document provides activities for students to calculate the volume of a cube using the formula Volume = Length x Width x Height and the volume of a cone using worksheets and online resources.
Surface area and volume powerpoint
1) The document provides formulas for calculating the surface area and volume of basic geometric shapes like rectangles, triangles, circles, cylinders, prisms, and triangular prisms.
2) It explains how to identify the key dimensions needed to substitute into the formulas, like finding the radius, diameter, height, and base/length of an object.
3) Examples are provided to demonstrate applying the formulas step-by-step to calculate surface areas and volumes.
Surface area and volume for 9th class maths
This document discusses how to find the surface areas and volumes of various solid figures. It explains how to calculate the surface area of a cuboid by finding the areas of the six rectangles that make up its surfaces, which equals 2(lb+bh+hl). It also describes how to calculate the curved surface area of a cone by dividing a paper model into small triangles and summing their areas, which equals 1/2*πrL. Finally, it lists the formulas for finding the surface areas and volumes of common 3D shapes like cubes, cylinders, cones, spheres, and hemispheres.
Unit conversion for Civil Engineers
The presentation shows the simple conversion between MKS and FPS system. It also shows how to convert from one unit to other unit within the system.
surface area and volume ppt for class 10
The PowerPoint presentation covers the surface areas and volumes of various shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. For each shape, it provides the formulas to calculate total surface area, lateral surface area, and volume. Surface area formulas are given for cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. Volume formulas are also provided for each of these shapes.
Viewers also liked (18)
Perimeter, Area, & Volume of a square/rectange/ cube
Perimeter, Area, & Volume of a square/rectange/ cube
Similar to Geometrycal figures
Mathematics[1].pdf
This document provides information about plane (2D) and 3D figures in mathematics. It defines common 2D shapes like squares, rectangles, trapezoids, circles, and parallelograms. For each shape, it gives the formula to calculate area, perimeter, and other measurements. It also defines common 3D solids like cubes, cuboids, cylinders, spheres, and cones. For each 3D solid, the summary provides the formula to calculate surface area, volume, and other measurements. The document aims to inform the reader about common geometric shapes and their properties through definitions, examples, and formulas.
Mathematics.pptx
This document provides information about plane (2D) and 3D figures in mathematics. It defines common 2D shapes like squares, rectangles, trapezoids, circles, and parallelograms. It then defines 3D solids like cubes, cuboids, cylinders, spheres and cones. For each shape, it provides the key properties and formulas for calculating attributes like area, perimeter, surface area and volume. The document serves as a reference for common geometric shapes and their measurements in mathematics.
Mensuration
A MENSURATIO PPT WHICH GIVES EXACT KNOWLEDGE MUST SEE IT
IF YOU WANT ME TO MAKE YOUR OWN SUBJECT PPT CALL ME ON NUMBER
9968821561
Area and Perimeter.pptx
Free powerpoint to teach the topics of Area and Perimeter to elementary school kids aspiring to compete in math contests such as the NLMC and Math Kangaroo
surface area and volume ppt
1. The document defines various 3D shapes including cubes, cuboids, cylinders, cones, spheres, and hemispheres.
2. It provides the formulas to calculate the surface area and volume of each shape. For cubes, cuboids, cylinders and cones it gives the formulas for total surface area. For spheres and hemispheres it provides the formulas for total surface area, curved surface area, and volume.
3. The document was created collaboratively by several students, with each person responsible for explaining different shapes.
17 geometry
This document provides an introduction to basic geometry concepts including:
- Euclid's undefined terms of point, line, and plane
- Definitions of basic shapes such as rays, line segments, angles, and polygons
- Classifications of quadrilaterals and regular polygons
- Formulas for calculating perimeter and area of common shapes like triangles, rectangles, parallelograms, trapezoids, circles, and composite figures
- Examples of using definitions and formulas to solve perimeter and area problems for single and composite geometric shapes.
E2209310017_Mathematics_B.Ed II Year.ppt
This document discusses the formulas for calculating the area and perimeter of various shapes. It defines area as the space within a shape and perimeter as the distance around the shape. Formulas are provided for calculating the area and perimeter of squares, rectangles, parallelograms, triangles, and circles. An example calculation is shown for each shape. The key concepts are that area is measured in square units and perimeter is measured in the same units as the shape's sides.
Maths project
The document discusses different geometry concepts related to mensuration including cubes, cuboids, cylinders, cones, spheres and hemispheres. It defines key terms like total surface area, lateral surface area and volume. Formulas are provided to calculate surface areas and volumes of cubes, cuboids, cylinders, cones, spheres and hemispheres. Examples are given to illustrate concepts like hollow cylinders and spherical shells.
Chapter 9 plane figures
- A triangle is a three-sided polygon with three angles that sum to 180 degrees. Triangles can be classified based on side length (scalene, isosceles, equilateral) or angle type (acute, right, obtuse).
- The triangle inequality theorem states that any side of a triangle must be less than the sum of the other two sides and greater than the difference of the other two sides.
- A quadrilateral is a four-sided polygon. Quadrilaterals can be simple or complex, and simple ones can be convex or concave. The interior angles of any simple quadrilateral sum to 360 degrees.
- A circle is the set of all points in a plane equid
Geometric_Shapes_AreaWeb.ppt
This document defines and provides examples of different geometric shapes and how to calculate their areas. It discusses circles, including calculating area using the radius. It also covers polygons like triangles, quadrilaterals, and regular polygons. Formulas are provided for calculating the areas of circles, triangles, parallelograms, trapezoids, and finding missing side lengths using the Pythagorean theorem. Examples of applying these formulas to solve for areas and side lengths are also included.
17 GEOMETRY (1).ppt
This document provides an introduction to geometry. It begins by defining geometry as the study of shapes and notes it is one of the oldest branches of mathematics. It discusses how modern geometry began with the Greeks over 2000 years ago and how Euclid of Alexandria wrote "The Elements", systematically recording all known geometry. Basic geometric terms like points, lines, planes, angles, and polygons are defined. Different types of polygons and quadrilaterals are classified. Methods for finding the perimeter and area of basic shapes like triangles, rectangles, parallelograms, trapezoids, and circles are presented. Composite figures made of multiple shapes are introduced. Several examples of calculating perimeters and areas of various geometric figures are provided.
17 GEOMETRY.ppt
This document provides an introduction to geometry. It begins by defining geometry as the study of shapes and notes it is one of the oldest branches of mathematics. It discusses how modern geometry began with the Greeks over 2000 years ago and how Euclid of Alexandria wrote "The Elements", systematically recording all known geometry. Basic geometric terms like points, lines, planes, angles, and polygons are defined. Different types of polygons and quadrilaterals are classified. Methods for finding the perimeter and area of basic shapes like triangles, rectangles, parallelograms, trapezoids, and circles are presented. Composite figures made of multiple shapes are introduced. Several examples of calculating perimeters and areas are worked through.
Circles&sphere
The document discusses geometric shapes related to circles such as spheres, hemispheres, and sectors. It provides formulas for calculating the surface area and volume of spheres and hemispheres. Formulas are given for finding the circumference, area, and radii of circles. The document also discusses converting between degrees and radians and formulas for calculating arc length, area of sectors, and area of segments of circles.
Circle & sphere
The document discusses geometric shapes related to circles such as spheres, hemispheres, and sectors. It provides formulas for calculating the surface area and volume of spheres and hemispheres. Formulas are given for finding the circumference, area, and radii of circles. The document also discusses converting between degrees and radians and provides formulas for calculating arc length, area of sectors, and area of segments of circles.
Circles & Sphere
The document discusses geometric shapes related to circles such as spheres, hemispheres, and sectors. It provides formulas for calculating the surface area and volume of spheres and hemispheres. Formulas are given for finding the circumference, area, and radii of circles. The document also discusses converting between degrees and radians and formulas for calculating arc length, area of sectors, and area of segments of circles.
Circlessphere
The document discusses geometric shapes related to circles such as spheres, hemispheres, and sectors. It provides formulas for calculating the surface area and volume of spheres and hemispheres. Formulas are given for finding the circumference, area, and radii of circles. The document also discusses converting between degrees and radians and formulas for calculating arc length, area of sectors, and area of segments of circles.
Circles&sphere
The document discusses geometric shapes related to circles such as spheres, hemispheres, and sectors. It provides formulas for calculating the surface area and volume of spheres and hemispheres. Formulas are given for finding the circumference, area, radius, and arc length of circles. Methods for calculating the area of sectors and segments of circles are also presented. Worked examples demonstrate how to apply the formulas to solve related problems.
perimeter and area.pptx
zo;fdskfldjvnjbhvdflges;dlf,nv fnmvhsoflekfljdslfjdjvncxkzjfhaslhas;owipreiroeutirghfbvmjcshkjfsehylos.,hzn
circles
A circle is 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 the radius. A diameter is a line segment that passes through the center containing two points on the circle. The circumference is the perimeter or distance around the circle, while the area is the region within the circle boundary. Circles have analytic definitions and properties that can be described through equations.
ANALYTIC-GEOMETRY(4).pptx
This document provides information about various concepts in analytic geometry including:
- Points, lines, planes, line segments, circles, angles, polygons, and their definitions.
- Finding midpoints, distances between points, slopes and inclinations of lines.
- Calculating slopes, tangents of angles, and the angle between two lines.
- Examples are provided to demonstrate finding midpoints, distances, slopes, angles, and solving geometric problems using coordinate systems.
Similar to Geometrycal figures (20)
More from achu5010 (20)
Recently uploaded
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Aberdeen
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 Fix the Import Error in the Odoo 17
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
How to Add Chatter in the odoo 17 ERP Module
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
clinical examination of hip joint (1).pdf
described clinical examination all orthopeadic conditions .
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama UniversityAkanksha trivedi rama nursing college kanpur.
Natural birth techniques are various type such as/ water birth , alexender method, hypnosis, bradley method, lamaze method etcPollock 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.Community pharmacy- Social and preventive pharmacy UNIT 5
Covered community pharmacy topic of the subject Social and preventive pharmacy for Diploma and Bachelor of pharmacy
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
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.
How to Manage Your Lost Opportunities in Odoo 17 CRM
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
How to Setup Warehouse & Location in Odoo 17 Inventory
In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.
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
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)Academy of Science of South Africa
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
-------------------------------------------------------------------------------
Find out more about ISO training and certification services
Training: ISO/IEC 27001 Information Security Management System - EN | PECB
ISO/IEC 42001 Artificial Intelligence Management System - EN | PECB
General Data Protection Regulation (GDPR) - Training Courses - EN | PECB
Webinars: https://pecb.com/webinars
Article: https://pecb.com/article
-------------------------------------------------------------------------------
For more information about PECB:
Website: https://pecb.com/
LinkedIn: https://www.linkedin.com/company/pecb/
Facebook: https://www.facebook.com/PECBInternational/
Slideshare: http://www.slideshare.net/PECBCERTIFICATION
DRUGS AND ITS classification slide share
Any substance (other than food) that is used to prevent, diagnose, treat, or relieve symptoms of a
disease or abnormal condition
Recently uploaded (20)
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Natural birth techniques - Mrs.Akanksha Trivedi Rama University
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Community pharmacy- Social and preventive pharmacy UNIT 5
Community pharmacy- Social and preventive pharmacy UNIT 5
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 Inventory
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Geometrycal figures
- 3. 1.CIRCLES “Circles are the locus of points with equal distance from the fixed point”
- 4. If the radiuse of a circle is ‘r’ then Area of a circle = ∏r2 Perimeter of a circle = 2Π r
- 5. 2.TRIANGLES Triangles are the three sided closed polygon having 3 angles
- 6. If the sides of a triangle is ‘a’ , ‘b’ , ‘c’ and the height is ‘h’ then The area of the triangle = 1/2 x base x height (1/2xbxh) The perimeter of the triangle = a +b + c
- 7. 3.RECTANGLES Rectangles are the four sided polygon having 4 angles
- 8. If the length and breadth is ‘a’ and ‘b’ respectively then The area of a rectangle = a x b The perimeter of rectangle = 2( a+b )
- 9. 4. SQUARES Squares are the four sided polygon having 4 angles
- 10. If the sides of a square is ‘a’ then The area of a square = a2 The perimeter of a square = 4a
- 11. 5. SPHERE A 3-dimensional object shaped like a ball. Every point on the surface is the same distance from the center.
- 12. If the radius of the sphere is ‘ r ’ then Surface Area of a sphere = 4 × π × r2 Volume of a sphere = (4/3) × π × r3
- 13. 6. CYLINDERS • two identical flat ends that are circular or elliptical • and one curved side. It has the same cross-section from one end to the other
- 14. Surface Area of a Cylinder h –height r-radius Surface Area = 2 × π × r × (r + h) Which is made up of: Surface Area of One End = π × r2 Surface Area of Side = 2 × π × r × h