Radians and Degrees Conversion Worksheet
Convert between radians and degrees, understand their relationship, and apply conversions to solve trigonometric problems.
Includes
Standards
Radians and Degrees Conversion Worksheet
Name:
Date:
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Read each question carefully and provide your answer in the space provided. Show all your work for conversion problems.
1. One complete revolution is equal to degrees or radians.
2. To convert degrees to radians, you multiply by the ratio .
3. To convert radians to degrees, you multiply by the ratio .
4. Which of the following is equivalent to 90 degrees?
π/4 radians
π/2 radians
π radians
2π radians
5. An angle of 3π/4 radians is equivalent to how many degrees?
45°
90°
135°
270°
6. Convert 210° to radians. Show your work.
7. Convert 5π/6 radians to degrees. Show your work.
8. On the number line below, mark the approximate positions of π/3 radians and 120 degrees. Label each point.
9. An angle of 1 radian is approximately 57.3 degrees.
True
False
10. There are 360 radians in a full circle.
True
False
11. A bicycle wheel makes 15 revolutions per minute. What is its angular speed in radians per second?
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