Radians and Degrees Conversion Worksheet
Convert between radians and degrees, understand angle measurement, and solve related problems.
Includes
Standards
Radians and Degrees Conversion
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. There are degrees in a full circle.
2. There are radians in a full circle.
3. To convert degrees to radians, you multiply by .
4. To convert radians to degrees, you multiply by .
Convert the following degree measures to radians. Express your answers in terms of π.
1. 45°
2. 120°
3. 270°
4. 330°
Convert the following radian measures to degrees.
1. π/6
2. 3π/4
3. 5π/3
4. 7π/2
1. Which of the following is equivalent to 60°?
π/2 radians
π/3 radians
π/4 radians
π/6 radians
2. An angle of 2π radians is equal to:
90°
180°
270°
360°
1. A Ferris wheel completes one full rotation every 30 seconds. Through what angle, in radians, does a rider travel in 5 seconds?
2. An angle in a triangle measures 75°. What is this angle in radians?
Use the protractor to estimate the degree measure of the given angle. Then convert your estimated degree measure to radians.
Estimated Degree Measure:
Radian Measure: