#12.2a Worksheet Central Angles, Chords, Arcs Name _______________________ Per-Seat # ______Date _________ The circles are congruent. What 2 other things can you conclude? 1. 2. Find the value of x. 3. 4. 5. Find the value of x to the nearest tenth. 6. 7. N and 8. O are congruent. PQ is a chord of both circles. 14. If NO = 12 in. and PQ = 8 in., how long is the radius to the nearest tenth of an inch? 15. If NO = 30 mm and radius = 16 mm, how long is PQ to the nearest tenth of a mm? 12.1 Practice G What is the value of x the nearest tenth? 8. Determine whether a tangent line is shown. Explain. 10. 11. 12. 16. What is the perimeter of the polygon? 19. The peak of Mt. Everest is about 8850 m above sea level. About how many kilometers is it from the peak of Mount Everest to the horizon if the Earth’s radius is about 6400 km? Draw a diagram to help you solve the problem. 10.6 Practice G: Find the length of each darkened arc. Leave your answer in terms of π. 23. 26. 24. 25. 37. In B, the length of is 3π in. and is 120. What is the radius of B? 28. Algebra Find the value of each variable. 38. 41. A 45° arc of D has the same length as a 30° arc of E. What is the ratio of the radius of D to the radius of E? 39. 10.7 Practice G: Find the area of the sector. Leave all answers in terms of π. 12. 13. 15. 16. 14. 34. In a circle, a 60° sector has an area of 25π ft2. What is the circumference of the circle?
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