Radians and Arc Length Worksheet
Explore radians as a measure of angles and calculate arc length in circles with this Grade 9 trigonometry worksheet.
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Radians and Arc Length
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. 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.
2. The formula for arc length when the angle is in radians is s = r * .
3. There are radians in a full circle.
4. Convert 60 degrees to radians.
π/2 radians
π/3 radians
π/4 radians
π/6 radians
5. What is the arc length of a circle with a radius of 5 cm and a central angle of 2 radians?
2.5 cm
5 cm
10 cm
20 cm
6. A circle has a radius of 8 inches. Find the length of the arc subtended by a central angle of 3π/4 radians.
7. The minute hand of a clock is 10 cm long. How far does the tip of the minute hand travel in 20 minutes? Express your answer in terms of π.
8. For the circle shown below, calculate the arc length of the shaded sector.
Show your work:
9. A central angle of 180 degrees is equivalent to π radians.
True
False
10. If the arc length is equal to the radius, the central angle is 1 radian.
True
False