Equationt of the circle /persamaan lingkaran
- 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) 2 2 2 r k y h x
- 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 2 2 2 r k y h x 2 2 k y h x r
- 5. Write the equation of Circle Center at ( -5,0) and radius 4.8 h =? k =? r = 4.8 2 2 2 r k y h x
- 6. Write the equation of Circle Center at ( -5,0) and radius 4.8 h =-5 k =0 r = 4.8 2 2 2 r k y h x 04 . 23 5 8 . 4 0 5 2 2 2 2 2 y x y x
- 7. Write the equation of Circle Center at ( 4, -3) and a point on the circle (2,1) h = k = r = x = y = 2 2 2 r k y h x
- 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 2 2 2 r k y h x 20 16 4 4 2 3 1 4 2 2 2 2 2 2 2 2 r r r
- 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 2 2 2 r k y h x 20 3 4 20 3 4 2 2 2 2 y x y x
- 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