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Back to Exercise: Understand radian measure

Exercises: Understand Radian Measure of an Angle

Show your work where applicable. Express radian answers in terms of pi unless otherwise stated.

Grade 9·22 problems·~25 min·Common Core Math - HS Functions·group·hsf-tf-a-1
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A

Warm-Up: Review What You Know

These problems review skills you have already learned.

1.

The circumference of a circle with radius rr is:

2.

How many degrees are in a full rotation?

3.

A circle has a central angle of 90°. What fraction of the full circle does this angle sweep out?

B

Fluency Practice

Convert each angle as directed. Express radian answers as exact values in terms of π\pi.

1.

Convert 60° to radians. Express your answer as a fraction in terms of π\pi.

2.

Convert 150° to radians. Express your answer as a fraction in terms of π\pi.

3.

Convert π4\frac{\pi}{4} radians to degrees.

4.

Convert 5π6\frac{5\pi}{6} radians to degrees.

5.

Which radian measure is equivalent to 270°?

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