Your SlideShare is downloading. ×
Circles
Upcoming SlideShare
Loading in...5
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×

Introducing the official SlideShare app

Stunning, full-screen experience for iPhone and Android

Text the download link to your phone

Standard text messaging rates apply

Circles

1,070
views

Published on

Published in: Spiritual

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
1,070
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
34
Comments
0
Likes
0
Embeds 0
No embeds

Report content
Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
No notes for slide
  • Discuss how the radius can be drawn from the center to any point on the circle.
  • Stress that in a linear equation, no variables are squared. In the parabola equation only one variable is squared, while two are squared in the circle equation.
  • Ax+BY=C Stress that linear equations have exponents of 1 on both the x and the y. With parabolas, either the x or the y has an exponent of 2. With circles, both x and y terms are squared. Also with circles, the coefficients (or denominators) are the same for x 2 and y 2 (You will see in another lesson that that is not true for ellipses.)
  • Transcript

    • 1. Next CONIC SECTIONS Parabola Circle Ellipse Hyperbola Quadratic Relations Previous Main Menu End
    • 2. What are conics?
      • Conics, or conic sections, are the intersection of a plane with an infinite double cone. If that plane cuts both cones, it is a hyperbola. If it is parallel to the edge of the cone, you get a parabola. If neither is the case, it is an ellipse. The ellipse is also a circle if the plane is perpendicular to the altitude of the cone.
    • 3. Circle ©National Science Foundation
    • 4. Circle
      • The Standard Form of a circle with a center at (0,0) and a radius, r, is……..
                                                                             center (0,0) radius = 2 Copyright ©1999-2004 Oswego City School District Regents Exam Prep Center
    • 5. Circles
      • The Standard Form of a circle with a center at (h,k) and a radius, r, is……..
                                                                                                                                                                                  center (3,3) radius = 2 Copyright ©1999-2004 Oswego City School District Regents Exam Prep Center
    • 6.
      • Review: The geometric definition relies on a cone and a plane intersecting it
      • Algebraic definition: a set of points in the plane that are equidistant from a fixed point on the plane (the center).
    • 7.
      • Find the distance from the center of the circle (h,k) to any point on the circle (represented by (x,y)). This is the radius of the circle.
      • Review the distance formula:
      • Substitute in the values.
      • Square both sides to get
      • the general form of a
      • circle in center-radius form.
      y x r (h,k) (x,y)
    • 8.
      • Radius (r)
      • Center (h,k)
    • 9.
      • Both variables are squared.
      • Equation of a circle in center-radius form:
      • What makes the circle different from the a line?
      • What makes the circle different from the parabola?
    • 10.  
    • 11.
      • 4. Write the equation of a circle centered at (2,-7) and having a radius of 5.
      • (x - 2) 2 + (y + 7) 2 = 25
      • 5. Describe (x - 2) 2 + (y + 1) 2 = 0
      • A point at (2,-1)
      • 6. Describe (x + 1) 2 + (y - 3) 2 = -1
      • No graph
    • 12.
      • 7. Write the equation of a circle whose diameter is the line segment joining A(-3,-4) and B(4,3).
      • What must you find first?
      • The center and the radius.
      • How can you find the center?
      • The center is the midpoint of the segment.
      • (½ , - ½ )
      • How can you find the radius?
      • The radius is the distance from the center to a point on the circle. Use the distance formula.
      • The equation is:
    • 13.
      • 8. Write in center-radius form and sketch:
      • Hint: You must complete the square.
    • 14.
      • What’s the standard form of a line?
      • What are the steps for graphing a circle?
      • How can you tell if the graph of an equation will be a line, a parabola, or a circle?