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 problems.
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Standards
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Radian Measure Worksheet
Name:
Date:
Score:
Read each question carefully and provide the best answer. Show all your work for full credit.
1. What is the radian measure equivalent to 180 degrees?
π/2 radians
π radians
2π radians
3π/2 radians
2. How many degrees are in 2π radians?
90 degrees
180 degrees
270 degrees
360 degrees
1. To convert degrees to radians, multiply the degree measure by .
2. To convert radians to degrees, multiply the radian measure by .
3. One radian is the angle subtended at the center of a circle by an arc that is equal in length to the of the circle.
1. Convert 45 degrees to radians. Show your work.
2. Convert π/3 radians to degrees. Show your work.
1. A circle has a radius of 6 cm. Find the length of the arc subtended by a central angle of 2π/3 radians.
2. A sector of a circle has a radius of 10 meters and a central angle of 30 degrees. Find the area of the sector. (Hint: Convert degrees to radians first).
1. A full rotation around a circle is equivalent to 2π radians.
True
False
2. To convert radians to degrees, you multiply by π/180.
True
False
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