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10.6 Equations of a Circle

10.6 Equations of a Circle. Standard Equation of a Circle Definition of a Circle. Definition of a Circle. A circle is a set of points a given distance from one point called the center. The distance from the center is called the radius. Standard equation of the circle.

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10.6 Equations of a Circle

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  1. 10.6 Equations of a Circle Standard Equation of a Circle Definition of a Circle

  2. Definition of a Circle A circle is a set of points a given distance from one point called the center. The distance from the center is called the radius

  3. Standard equation of the circle If the circle is at the origin x 2 + y 2 = r 2 r is the radius If the circle is not at the origin The center is at (h, k)

  4. Standard equation of the circle If the circle is at the origin x 2 + y 2 = r 2 r is the radius If the circle is not at the origin Solve for r

  5. Write the equation of Circle Center at ( -5,0) and radius 4.8 h =? k =? r = 4.8

  6. Write the equation of Circle Center at ( -5,0) and radius 4.8 h =-5 k =0 r = 4.8

  7. Write the equation of Circle Center at ( 4, -3) and a point on the circle (2,1) h = k = r = x = y =

  8. Write the equation of Circle Center at ( 4, -3) and a point on the circle (2,1) h = 4 k = - 3 r = x = 2 y = 1

  9. Write the equation of Circle Center at ( 4, -3) and a point on the circle (2,1) h = 4 k = - 3 r2 = 20 x = 2 y = 1

  10. Given the equation of the Circle (x – 13)2 + (y – 6)2 = 52 Tell if the point is inside or outside the circle. (5, 6)

  11. Given the equation of the Circle (x – 13)2 + (y – 6)2 = 52 Tell if the point is inside or outside the circle. (5, 6) (5 -13)2 + (6 – 6)2 is it <, >, or = 52 ( - 8)2 + 02 = 64 = 25 Greater then outside the circle. Less then Inside the circle. Equal is on the circle.

  12. Given the equation of the Circle (x – 13)2 + (y – 6)2 = 52 Tell if the point is inside or outside the circle. (5, 6) Outside (14,8)

  13. Given the equation of the Circle (x – 13)2 + (y – 6)2 = 52 Tell if the point is inside or outside the circle. (5, 6) Outside (14,8) In (20, 9)

  14. Given the equation of the Circle (x – 13)2 + (y – 6)2 = 52 Tell if the point is inside or outside the circle. (5, 6) Outside (14,8) In (20, 9) Outside

  15. Given the equation of the Circle (x – 13)2 + (y – 6)2 = 52 Tell if the point is inside or outside the circle. (5, 6) Outside (14,8) In (20, 9) Outside (16, 2)

  16. Given the equation of the Circle (x – 13)2 + (y – 6)2 = 52 Tell if the point is inside or outside the circle. (5, 6) Outside (14,8) In (20, 9) Outside (16, 2) On

  17. Homework Page 638 – 639 # 7 – 25 , 33 - 39

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