Convert the following angle measures from degrees to radians or radians to degrees.
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Question 1
1.
310º = _____ radians
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Question 2
2.
-155º = _______ radians
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Question 3
3.
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Question 4
4.
Give one positive and one negative coterminal angle for each given angle.
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Question 5
5.
Give one positive and one negative coterminal angle for -285º. Put a comma between the two answers. No spaces.
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Question 6
6.
Give one positive and one negative coterminal angle for
Put a comma between the two answers. No spaces.
Find the length of the intercepted arc given the central angle and radians of the circle. Round your answer to the nearest tenth.
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Question 7
7.
120º; r = 6 in.
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Question 8
8.
Find the area of each sector. Round your answer to the nearest tenth.
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Question 9
9.
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Question 10
10.
Hint: Remember to convert degrees to radians first.
Use your knowledge of arc lengths, area of sectors, and circular motion to solve each problem.
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Question 11
11.
A bicycle tire with an 18 inch diameter is making 140 revolutions per minute. Find the linear speed in inches per minute. Round to the nearest tenth.
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Question 12
12.
A bicycle tire with an 18 inch diameter is making 140 revolutions per minute. Find the angular speed in radians per minute. Round to the nearest tenth.
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Question 13
13.
A CD with a radius of 6 cm rotates at a speed of 237 revolutions per minute. Find the linear speed in cm per second.
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Question 14
14.
A CD with a radius of 6 cm rotates at a speed of 237 revolutions per minute. Find the angular speed in radians per minute.
