Radian Measure Worksheet - Grade 10 Math
A Grade 10 math worksheet covering radian measure, conversions between radians and degrees, and arc length calculations.
Includes
Standards
Radian Measure Practice
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. How many degrees are equivalent to π/2 radians?
45°
90°
180°
360°
2. What is the approximate value of 1 radian?
30°
57.3°
90°
180°
3. To convert degrees to radians, you multiply the degree measure by .
4. A full circle is equivalent to radians.
5. Convert 300° to radians. Show your work.
6. Convert 5π/6 radians to degrees. Show your work.
7. A circle has a radius of 8 cm. Find the length of the arc subtended by a central angle of 3π/4 radians.
8. A pendulum swings through an angle of 0.5 radians. If the pendulum is 50 cm long, what is the distance covered by the tip of the pendulum in one swing?
9. A negative radian measure indicates a clockwise rotation.
True
False
10. The unit circle has a radius of 1 unit, making its circumference 2π radians.
True
False