Radians and Degrees Conversion Worksheet
Convert between radians and degrees, understand their relationship, and apply conversions to trigonometric problems.
Includes
Standards
Radians and Degrees Conversion
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Date:
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Read each question carefully and provide the best answer. Show all your work for conversion problems.
1. One full revolution is equal to 360 or 2π .
2. To convert degrees to radians, multiply by .
3. To convert radians to degrees, multiply by .
Convert the following degree measures to radians. Express your answers in terms of π.
4. 60°
5. 135°
6. 270°
7. 330°
Convert the following radian measures to degrees.
8. π/4
9. 5π/6
10. 7π/3
11. 11π/12
12. Which of the following is equivalent to 45°?
π/2 radians
π/3 radians
π/4 radians
π/6 radians
13. An angle of 2π radians is equivalent to how many degrees?
90°
180°
270°
360°
14. A straight angle measures 180° or π radians.
True
False
15. An arc of a circle has a length of 5 cm and subtends a central angle of 2.5 radians. What is the radius of the circle? (Formula: arc length = radius × angle in radians)
Use the protractor below to estimate the degree measure of the angle, then convert it to radians.
Estimated Angle (degrees):
Angle in Radians: