Radian Measure Worksheet
This worksheet focuses on understanding and converting between radian and degree measures, and applying radian measure to arc length and sector area.
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Radian Measure Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. To convert degrees to radians, multiply by .
2. To convert radians to degrees, multiply by .
3. One full revolution is equal to degrees or radians.
4. Which of the following is equivalent to 180 degrees?
π/2 radians
π radians
2π radians
3π/2 radians
5. An angle of 60 degrees is equal to which radian measure?
π/6
π/4
π/3
π/2
6. Convert 210 degrees to radians. Express your answer in terms of π.
7. Convert 5π/4 radians to degrees.
8. A circle has a radius of 8 cm. Find the length of the arc subtended by a central angle of 3π/4 radians.
9. A sector of a circle has a radius of 10 inches and a central angle of 120 degrees. Find the area of the sector.
10. An angle of 90 degrees is equivalent to π/2 radians.
True
False
11. The formula for arc length is s = rθ, where θ is in degrees.
True
False
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