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Name:______________________________________________Date:_______________Period:________ Geometry Unit 8 Exam (R) Directions: Answer each question by selecting the most appropriate answer choice and filling in the corresponding circle on the ANSWER sheet provided. Circle your answer on this exam! You may do scratch work on this exam. Only answers on the Answer sheet will be scored. Good Luck For exercises 1 -4, use the following circle at the right. 1. Which of the following represents the radius of the circle O? I. OE II. OC III. AD B A. I only A C B. II only C. III only D. I and II only E. I, II, and III O 2. Which of the following represents the chord of the circle O? I. AC D II. AD III. BE E A. I only B. II only C. III only D. I and II only E. I, II, and III 3. In circle O, if OA = 20cm, which of the following is the measure BE? A. 10 cm B. 20 cm C. 20 cm D. 40 cm E. 40 cm 4. If the measure of ےCOD = 90°, which of the following is the measure minor arc CD? A. 45° B. 90° C. 180° D. 270 E. 360° Name:______________________________________________Date:_______________Period:________ 5. The diameter of circle A is 16 units and the diameter of circle D is 22 units. If BC = 5 units, which of the following is the measure of AD? A. 11 B. 14 A B C D C. 33 D. 38 E. 43 6. Jonathan’s family has a swimming pool that is 5 feet deep in their backyard. If the diameter of the pool is 30 feet, what is the exact circumference of the pool? A. 5π ft B. 10π ft C. 15π ft D. 30π ft E. 45π ft 7. Find the diameter and radius of the circle with a circumference of 108.5ft. Round to the nearest hundredth. A. d = 34.54 ft r = 17.27 ft B. d= 17.27 ft r = 34.54 ft C. d = 340.86 ft r = 170.43 ft D. d = 69.08 ft r = 34.54 ft E. d = 34.54 ft r = 69.08 ft 8. A square is inscribed in the circle below with a side length of 12 mm. What is the exact circumference of the circle below? 12 mm A. 6π mm B. 12π mm C. 12 2 mm D. 24π mm E. 144π mm Name:______________________________________________Date:_______________Period:________ For exercises 9-11, use the following circle. In F , CFD DFE, mBFA 7 x, mAFE 5x 12 , and BE and AC are diameters. B 9. What is the m AFE? A. 14° B. 41° C. 49° F D. 82° A C E. 98° 10. What measure of arc ABD? A. 49° D B. 82° E C. 98° D. 229° E. 360° 11. What is the length of arc ABD if AC = 20ft? Round to the nearest hundredth. A. 19.98 ft B. 39.97 ft C. 62.80 ft D. 79.94 ft E. 161.52 ft 12. The circle below has a circumference of 60π cm. A central angle COD with measure 24° intercepts minor arc CD. What is the length of the minor arc CD, in centimeters? C A. π B. 2π D C. 4π D. 900π E. 1440π O 13. In CL= CM, XY = 5x + 8 and ST = 15x – 32. What is the measure of XL? A. 4 B. 14 C. 28 D. 56 E. 60 Name:______________________________________________Date:_______________Period:________ 14. In the circle, minor arc AC = 150° and minor arc AB = 105°. If AB = 6x+9 and BC = 8x – 13, which of the following is the measure of AB in inches? A 105° A. 11 11 B. 22 0° C. 66 150° D. 75 E. 88 B B C C 15. In circle O, the radius is 20ft and AC = 32ft. What is the length of BO? A. 6 ft B. 12 ft B C. 16 ft A C D. 20 ft E. 32 ft O 16. Angle ADC is a right angle inscribed in the circle. Which of the following is the measure of arc ABC? A. 90° B . 120° C. 180° D. 270° E. 360° 17. Angle ABC is inscribed in circle Q. If the mےAQC = 130°, which of the following is the measure of ےABC? A. 30° A B. 65° C. 130° Q D. 230° C E. 295° B Name:______________________________________________Date:_______________Period:________ 18. In an inscribed angle of a circle measures (8x+27)° and its intercepted arc measures (23x – 23)°, which of the following is the value of x? (23x – 23)° A. B. 15 C. D. 11 (8x +27)° E. 30 19. Angles YWZ and YXZ are inscribed in the circle. If the mےYWZ = 4y and mےYXZ = 2y+ 20, which of the following is the measure of ےYWZ?. W X A. 10° B. 20° C. 40° D. 80° E. 100° Y Z 20. Line segment FE is tangent to the circle D at point E with the radius x. Which of the following it the value of the radius DE? F A. -10 4 B. -6 C. 6 x 8 D. 10 E. no solution D E 21. Triangle KHM is circumscribed about circle O. The sides of the triangles are tangent to circle O at points J, K and L. Which of the following is the length of KL? A. 3 K B. 5 C. 7 D. 9 x E. 12 12 J L O 3 H 7 N M Name:______________________________________________Date:_______________Period:________ 22. Line segments AC and BC are tangent to the circle and intersect at point C. If AC = 3x-7 and BC = 2x + 9, which of the following is the measure of line segment BC? A A. 2 B. 13 C. 16 D. 23 E. 41 C B 23. What are the coordinates of the center of a circle with equation ( x 2) 2 ( y 4) 2 9 ? A. (-2, -4) B. (-2, 4) C. (2, -4) D. (2, 4) E. (4, 2) 24. The point P(3, -8) lies on a circle with center C(-2, 4). What is the equation of the circle? A. ( x 2) 2 ( y 4) 2 169 B. ( x 2) 2 ( y 4) 2 169 C. ( x 2) 2 ( y 4) 2 17 D. ( x 2) 2 ( y 4) 2 17 E. ( x 2) 2 ( y 4) 2 13 25. Which of the following is the equation of the circle with the center at the origin? y A. x 2 y 2 6 8 7 B. x 2 y 2 12 6 5 C. x 2 y 2 36 4 3 D. x 2 y 2 144 2 1 E. x 2 y 2 144 –8 –7 –6 –5 –4 –3 –2 –1 –1 1 2 3 4 5 6 7 8 x –2 –3 –4 –5 –6 –7 –8