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Radians and Degrees Worksheet

A Grade 12 math worksheet focusing on converting between radians and degrees, and understanding their application in trigonometry.

Grade 12 Math TrigonometryRadians and Degrees
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSF.TF.A.1CCSS.MATH.CONTENT.HSF.TF.A.2

Topics

radiansdegreestrigonometryunit circlegrade 12 math
8 sections · Free to use · Printable
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Radians and Degrees

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Date:

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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 the degree measure by  .

2. There are   radians in a full circle.

3. An angle of 90 degrees is equivalent to   radians.

4. Which of the following is equivalent to 270° in radians?

a

π/2

b

π

c

3π/2

d

2π

5. An angle of 5π/6 radians is equal to how many degrees?

a

120°

b

150°

c

210°

d

300°

6. Convert 315° to radians. Express your answer in terms of π.

7. Convert 7π/4 radians to degrees.

8. On the unit circle below, label the angles in both degrees and radians for 0°, 90°, 180°, 270°, and 360° (or 0 radians, π/2, π, 3π/2, and 2π radians).

0°, 0 rad90°, π/2 rad180°, π rad270°, 3π/2 rad

9. A positive angle measured counterclockwise from the positive x-axis is in standard position.

T

True

F

False

10. One radian is approximately equal to 57.3 degrees.

T

True

F

False

11. A Ferris wheel has a radius of 20 meters and completes one revolution every 2 minutes. What is the angular speed of the Ferris wheel in radians per second?