Equation of the circle.ppt
- 2. 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
- 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 Solve for r 2 2 2 r k y h x 2 2 k y h x r
- 4. General Form of the Equation of a Circle + = 9 + 4 + 9 – 9 = 0
- 5. + = 25 + 1 + 16 – 25= 0
- 6. 2 2 2 r k y h x Ex. + = 76 + 4 +1
- 7. 2 2 2 r k y h x Ex. + = -2 + 9 +9
- 8. 2 2 2 r k y h x (h,k) - center r- radius center (0,0) Radius(12)
- 9. 2 2 2 r k y h x (h,k) - center r- radius center (-2,1) radius
- 11. Center (h,k)______ Radius_____ h = 2 k = -3 r = 3 (2,3)
- 14. Write the equation of Circle Center at ( 2, -5) and radius is 3 h = 2 k = - 5 r = 3 2 2 2 r k y h x
- 15. Write the equation of Circle 2 2 2 r k y h x + = 10
- 16. 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
- 17. 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)
- 18. 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 than outside the circle. Less than Inside the circle. Equal is on the circle.
- 19. 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)
- 20. 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)
- 21. 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
- 22. 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)
- 23. 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
- 24. Homework Page 638 – 639 # 7 – 25 , 33 - 39