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Unit 8 Circles Review 1. 2. 3. 4. Given the measure of arc AC is 130. What is the measure of angle ADC? 5. PQ = 9, PR = 6. Find RS. 6. Find x. 7. BC = 12 and AD = 8. Find the exact circumference of the circle. 8. Your geometry teacher is ordering a large 16 inch pizza. Every student who scores an A on the circle test will receive a slice of the pizza. If you get an A on the test, what is the approximate area of your slice of pizza? (For question 8, assume that 16 inches refers to the diameter of the pizza and that the pizza will be cut into eight slices. Also assume that this question is hypothetical.) 9. 121
. Find x. (Assume XY and XZ are tangent to the circle). 10. Quadrilateral ABCD is inscribed in a circle. If ∠
11. Find . 65, ∠
3
75. Find ∠ . 12. P, T and R are points of tangency. UP = 10, PQ = 10, the perimeter of triangle QSU = 100. Find ST.
13. Circle X has a radius of 8 inches. Sector YZ of circle X has a central angle of 80 degrees. What is the exact area of sector YZ? 14. If CB is a diameter of circle K, what is ∠
15. Find the exact length of arc QR. ? 16. Find y. 17. Write the equation for a circle that has a center at (4, ‐5) and a radius of 5. 18. Write the equation for a circle that has a center at (‐2, ‐2) and a point at (0, ‐2). 19. The radius of circle A is 13. EB = 24. Find AG. 20. Find x. 21. Find 22. Plot the center and one integral point of the circle with equation . 23. Circle Q has center at (2, 7) and one point on the circle at (3, 5). Find the circumference of the circle. 24. ∠
°, °. Find ∠
. 25. 26. The area of the shaded region is 30 . Find the length of .
27. In Circle Q, ∠
98°. Find ∠
. 28. The radius of circle D is 13 in. The length of chord BC is 24 in. Find the area of the shaded region. 29.
30. Directions: Circle all that apply. Circle C has a diameter with endpoints of (‐6, 3) and (0, ‐5). Which of the following points also lie on the circle? (0, 5) (‐3, 4) (‐8, ‐1) (‐3, ‐1) (‐5, 4) (‐3, ‐6)