Geometry Name ____________________________Pd. ____7.7 Equation of a Circle
Match the equation of a circle with its description.
________ 1. x2 + y2 = 4
________ 2. x2 + y2 = 9
________ 3. (x + 1)2 + (y – 4)2 = 16
________ 4. (x + 2)2 + (y + 3)2 = 9
________ 5. (x + 3)2 + (y – 5)2 = 16
________ 6. (x – 2)2 + (y – 5)2 = 9
A. center (–1,4), radius 4
B. center (–2,–3), radius 3
C. center (0, 0), radius 2
D. center (2, 5), radius 3
E. center (–3, 5), radius 4
F. center (0, 0), radius 3
Give the center and radius of the circle.
7. x2 + y2 = 36 Center Radius
8. (x + 4)2 + (y – 2)2 = 49 Center Radius
Write the standard equation of the circle with the given center and radius. ( x−h )2+( y−k )2=r2
9. Center (0, 3), radius 5
10. Center (7, –6), radius 9
Identify the center and radius of the circle. Then write the standard equation of the circle. ( x−h )2+( y−k )2=r2
11. _____________________________________ 12. _____________________________________
Center _________ Center _________
Radius _________ Radius _________
13. _____________________________________ 14. _____________________________________
Center _________ Center _________
Radius _________ Radius _________
Identify the center and radius of the circle. Then sketch the graph.
15. x2 + y2 = 25 16. (x – 1)2 + y2 = 16
Center _________ Center _________
Radius _________ Radius _________
17. x2 + (y + 2)2 = 9 18. (x + 3)2 + (y – 1)2 = 4
Center _________ Center _________
Radius _________ Radius _________
Review: Find the value of x. Show work!
19. x = _________ 20. x = _________ 21. x = _________
22. x = _________ 23. x = _________ 24. x = _________
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