rach angle in radians to degrees. 137 37. 6 77 43. rach angle in degre

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 21A
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Question
37,43
In Problems 11-22, draw each angle in standard position.
11. 30°
12. 60°
13. 135°
14. -120°
15. 450°
16. 540°
3m
17.
4
18.
3
167
21.
3.
21T
22.
4
19,
20. -
3
6.
In Problems 23–34, convert each angle in degrees to radians. Express your answer as a multiple of a.
\ 23. 30°
24. 120°
25. 495°
26. 330°
27. - 60°
28. -30°
30. 270°
29. 540°
31. -240°
32. -225°
33. -90°
34. -180°
In Problems 35–46, convert each angle in radians to degrees
137
\ 35.
36.
37.
38. -
39.
2
40. 4
6.
5m
42.
12
17
45.
37
41.
20
43. -
44. - 7
46.
15
4
In Problems 47–52, convert each angle in degrees to radians, Express vour answer in decimel form, rounded to two decimal places.
47. 17°
48. 73°
49-40°
50. -51°
51. 125°
52. 350°
In Problems 53–58, convert each angle in redians to degrees. Express vour answer in decimal form, rounded to two decimal places.
53. 3.14
54. 0.75
55. 7
56. 3
57. 9.28
58. V2
In Problems 59–64, convert each angle to a decimal in degrees. Round your answer to two decimal places.
59, 40°10'25"
60. 61°42'21"
63. 9°9'9"
61. 50°14'20"
62. 73°40'40"
64. 98°22'45"
In Problems 65–70, convert each angle to D°M'S" form. Round your answer to the nearest second.
65. 40.32°
66. 61.24°
67. 18.255°
68. 29.411°
69. 19.99°
70. 44.01°
In Problems 71–78, s denotes the length of the arc of a circle of radius r subtended by the central angle 0. Find the missing quantity. Round
answers to three decimal places.
\ 71. r = 10 meters, 0 =
1
radian, s = ?
72. r = 6 feet, 0 = 2 radians, s = ?
2
73. 0 =
radian,
s = 8 feet, r = ?
74. 0 = radian, s = 6 centimeters, r = ?
3
4
75. r = 10 miles, s = 9 miles, 0 = ?
76. r= 6 meters,
s = 8 meters, 0 = ?
77. r = 2 inches, 0 = 30°, s= ?
78. r = 3 meters, 0 120°, s = ?
In Problems 79–86, A denotes the area of the sector of a circle of radius r formed by the central angle 0. Find the missing quantity. Round
answers to three decimal places.
\ 79. r = 10 meters, 0 =
1
5 radian, A = ?
80. r = 6 feet, 0 = 2 radians, A = ?
1
1
radian, A = 2 square feet,r ?
3
radian, A = 6 square centimeters, r ?
4
81. 0 =
82. e =
83. r = 5 miles, A = 3 square miles, 6?
84. r= 6 meters, A 8 square meters, 0 = ?
85. r = 2 inches, 0 = 30°, A = ?
86. r= 3 meters, 0 = 120°, A = ?
In Problems 87–90, find the length s and he area A. Rourd answers to three decimal places,
87.
88.
89.
90.
AS
A
50°
9 cm
A
/70°
2 ft
4 m
12 yd
Transcribed Image Text:In Problems 11-22, draw each angle in standard position. 11. 30° 12. 60° 13. 135° 14. -120° 15. 450° 16. 540° 3m 17. 4 18. 3 167 21. 3. 21T 22. 4 19, 20. - 3 6. In Problems 23–34, convert each angle in degrees to radians. Express your answer as a multiple of a. \ 23. 30° 24. 120° 25. 495° 26. 330° 27. - 60° 28. -30° 30. 270° 29. 540° 31. -240° 32. -225° 33. -90° 34. -180° In Problems 35–46, convert each angle in radians to degrees 137 \ 35. 36. 37. 38. - 39. 2 40. 4 6. 5m 42. 12 17 45. 37 41. 20 43. - 44. - 7 46. 15 4 In Problems 47–52, convert each angle in degrees to radians, Express vour answer in decimel form, rounded to two decimal places. 47. 17° 48. 73° 49-40° 50. -51° 51. 125° 52. 350° In Problems 53–58, convert each angle in redians to degrees. Express vour answer in decimal form, rounded to two decimal places. 53. 3.14 54. 0.75 55. 7 56. 3 57. 9.28 58. V2 In Problems 59–64, convert each angle to a decimal in degrees. Round your answer to two decimal places. 59, 40°10'25" 60. 61°42'21" 63. 9°9'9" 61. 50°14'20" 62. 73°40'40" 64. 98°22'45" In Problems 65–70, convert each angle to D°M'S" form. Round your answer to the nearest second. 65. 40.32° 66. 61.24° 67. 18.255° 68. 29.411° 69. 19.99° 70. 44.01° In Problems 71–78, s denotes the length of the arc of a circle of radius r subtended by the central angle 0. Find the missing quantity. Round answers to three decimal places. \ 71. r = 10 meters, 0 = 1 radian, s = ? 72. r = 6 feet, 0 = 2 radians, s = ? 2 73. 0 = radian, s = 8 feet, r = ? 74. 0 = radian, s = 6 centimeters, r = ? 3 4 75. r = 10 miles, s = 9 miles, 0 = ? 76. r= 6 meters, s = 8 meters, 0 = ? 77. r = 2 inches, 0 = 30°, s= ? 78. r = 3 meters, 0 120°, s = ? In Problems 79–86, A denotes the area of the sector of a circle of radius r formed by the central angle 0. Find the missing quantity. Round answers to three decimal places. \ 79. r = 10 meters, 0 = 1 5 radian, A = ? 80. r = 6 feet, 0 = 2 radians, A = ? 1 1 radian, A = 2 square feet,r ? 3 radian, A = 6 square centimeters, r ? 4 81. 0 = 82. e = 83. r = 5 miles, A = 3 square miles, 6? 84. r= 6 meters, A 8 square meters, 0 = ? 85. r = 2 inches, 0 = 30°, A = ? 86. r= 3 meters, 0 = 120°, A = ? In Problems 87–90, find the length s and he area A. Rourd answers to three decimal places, 87. 88. 89. 90. AS A 50° 9 cm A /70° 2 ft 4 m 12 yd
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