601 6.1 Radian Measure 7. Find the measure of the central angle (in radians). 20 10 U 8. Find the area of the sector. 10 15P U 9. Find the measure (in radians) of the central angle. The number inside the sector is the area. 8 sq units 4 10. Find the measure (in degrees) of the central angle. The number inside the sector is the area. 96P sq units 12 Convert each degree measure to radians. Leave answers as multiples of p. See Examples 1(a) and 1(b). 11. 60° 12. 30° 13. 90° 14. 120° 15. 150° 16. 270° 17. -300° 18. -315° 19. 450° 20. 480° 21. 1800° 22. 3600° 23. 0° 24. 180° 25. -900° 26. -1800° Convert each radian measure to degrees. See Examples 2(a) and 2(b). 27. p 3 28. 8p 3 29. 7p 4 30. 2p 3 31. 11p 6 32. 15p 4 33. - p 6 34. - 8p 5 35. 7p 10 36. 11p 15 37. - 4p 15 38. - 7p 20 39. 17p 20 40. 11p 30 41. -5p 42. 15p Convert each degree measure to radians. If applicable, round to the nearest thousandth. See Example 1(c). 43. 39° 44. 74° 45. 42.5° 46. 264.9° 47. 139° 10′ 48. 174° 50′ 49. 64.29° 50. 85.04° 51. 56° 25′ 52. 122° 37′ 53. -47.69° 54. -23.01° Convert each radian measure to degrees. Write answers to the nearest minute. See Example 2(c). 55. 2 56. 5 57. 1.74 58. 3.06 59. 0.3417 60. 9.84763 61. -5.01095 62. -3.47189 63. Concept Check The value of sin 30 is not 1 2 . Why is this true? 64. Concept Check What is meant by an angle of 1 radian?
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