Chapter 10 Review

Chapter 10 Review Name___________________________ 1. Identify all tangents for circle O. 5. Inside a semicircular tunnel of diameter 26 feet, a vertical support beam is placed 5 feet from the side of the tunnel. How tall is the beam? (Round to one decimal place.) 6. is tangent to O at A (not drawn to scale). Find the length of the radius r, to the nearest tenth. 2. Identify two chords. 7. The circle is circumscribed by the pentagon as shown (not drawn to [A] and [C] and [B] [D] scale). If find the perimeter of the pentagon. and and 3. Give the center and radius of circle A and circle B. Describe the intersection of the two circles and describe all common tangents. [A] 82 [B] 110 [C] 104 [D] 76 8. You are standing at point B. Point B is 20 feet from the center of the circular water storage tank and 18 feet from point A. is tangent to O at A. Find the radius of the tank. (Round answer to one decimal place) 4. Inside a semicircular tunnel of diameter 30 feet, a vertical support beam is placed 4 feet from the side of the tunnel. How tall is the beam? (Round to one decimal place.) [A] 8 ft [B] 4.2 ft [C] 11 ft [D] 10.2ft 9. A park maintenance person stands 16 m from a circular monument. If you assume her lines of sight form tangents to the monument and make an angle of 22°, what is the measure of the arc of the monument that her lines of sight intersect? Chapter 10 Review Name___________________________ [A] 158° [B] 136° [C] 68° [D] 112° 10. You are standing at point B. Point B is 18 feet from the center of the circular water storage tank and 16 feet from point A. O at A. Find the radius of the tank. is tangent to 15. Find the value of x. [A] 16.5 ft. 11. Find m [B] 18.6 ft. in [C] 8.2 ft. [D] 24.1 ft. A. Drawing is not to scale. [A] 8.5 [B] 7.4 [C] 3.7 [D] 5.0 16. Find the value of x to the nearest tenth. 12. Given: In O, m = 298 . Find m B. 17. Find m [A] 12.5 [B] 25 [C] 31 PSQ if m PSQ = and m PRQ = [D] 15.5 13. What is the minor arc measure formed by the hour and minute hands at 1:30? . [A] 75 [B] 30 [C] 15 [D] 37.5 18. Given: m IED = 109 and m JFG = 97 Find the measure of each unknown angle. (not drawn to scale) 14. Given circle O with radius 25 and OC = 7. Find the measure of . Chapter 10 Review Name___________________________ and Find m . [A] [B] 23. In the figure shown (not drawn to scale), [C] . 19. Given: m X = 130°; ;m Y = 100° Refer to the diagram to find the measure of each of the following: A. Z B. W C. D. 20. Given that and what is the measure of B [A] 20 [B] 39 [C] 16 24. Find the value of x if m scale). [D] 100 = 38° and m = 20° (not drawn to ? 21. A circle can be circumscribed about which quadrilateral? A Find m and [D] C 22. In the figure shown (not drawn to scale), D 25. Find the equation of the circle of radius 4 with its center at the origin. [A] = 16 [B] [C] =8 [D] + =1 =4 26. Find the equation of the circle with center (–3, –1) and radius of 3. [A] [B] [C] [D] 27. Find the value of x if 29° and 68° (not drawn to Chapter 10 Review scale). [A] 194° Name___________________________ [B] 19.5° [C] 97° [D] 48.5° 32. A certain low-watt radio station is able to be heard in a small part of the city. Write an equation for the boundary where the radio station can be heard, and find its radius. Each grid unit represents one block. 28. A hummingbird is flying toward a large tree with a radius of 7 feet. When it is 26 feet from the center of the tree, its lines of sight form two tangents. What is the measure of the arc on the tree that the hummingbird can see? [A] 148.76° [B] 147.76° [C] 75.38° [D] 74.38° 29. Find the value of x. 30. Find the diameter of the circle. answer to the nearest tenth. [A] 9.2 [B] 7.1 and [C] 11.9 Round your [D] 35.2 31. Find the length of the missing segment to the nearest tenth. 33. A small messenger company can deliver only in a small part of the city. Write an equation for the boundary where the company delivers, and find its radius. [A] ; r = 25 blocks [B] ; r = 5 blocks [C] ; r = 25 blocks [D] ; r = 5 blocks Chapter 10 Review Reference: [10.1.1.1] Name___________________________ Reference: [10.3.2.57] [1] [20] Reference: [10.1.1.2] [2] [D] Reference: [10.3.2.59] [21] B Reference: [10.1.1.14] Reference: [10.4.2.66] [3] The circles intersect at (2, 3). [22] 37 Reference: [10.4.2.67] [23] [B] Reference: [10.1.1.17] [4] [D] Reference: [10.4.2.72] [24] 29° Reference: [10.1.1.18] [5] 10.2 ft Reference: [10.6.1.83] [25] [A] Reference: [10.1.2.19] [6] 4.5 Reference: [10.6.1.84] [26] [D] Reference: [10.1.2.20] [7] [D] Reference: [10.4.2.73] [27] [D] Reference: [10.1.2.28] [8] 8.7 ft. Reference: [10.4.2.77] [28] [A] Reference: [10.4.2.70] [9] [A] Reference: [10.5.1.78] Reference: [10.1.2.29] [10] [C] [29] Reference: [10.2.1.30] Reference: [10.5.2.79] [30] [A] [11] 85 Reference: [10.5.2.80] [31] 46.3 Reference: [10.2.1.31] [12] [C] Reference: [10.6.1.87] Reference: [10.2.1.33] [13] 135° [32] Reference: [10.2.2.38] [14] 48 Reference: [10.6.1.88] [33] [B] Reference: [10.2.2.39] [15] [D] Reference: [10.2.2.49] [16] 6 Reference: [10.3.1.50] [17] [A] Reference: [10.3.2.55] [18] [A] Reference: [10.3.2.56] [19] A. m m Z = 50° = 70° B. m = 130° C. m W = 80° D. ; radius = 9 blocks