Radians and Degrees Conversion
Convert between radians and degrees, understand their relationship, and apply conversion formulas with this Grade 8 math worksheet.
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Radians and Degrees Conversion
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Date:
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Read each question carefully and convert the given angle measurements between radians and degrees. Show all your work.
1. One full revolution around a circle is equal to 360 or 2π .
2. To convert degrees to radians, multiply the degree measure by .
3. To convert radians to degrees, multiply the radian measure by .
4. Which of the following is equivalent to 90 degrees?
π/4 radians
π/2 radians
π radians
2π radians
5. An angle of π/3 radians is equal to how many degrees?
30°
45°
60°
90°
6. Convert 120° to radians.
7. Convert 5π/6 radians to degrees.
8. Convert 315° to radians.
9. Draw a number line and mark the position of π/2 radians.
10. Use the protractor to estimate the angle in degrees, then convert your estimate to radians.
Estimated Degrees:
Converted Radians:
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