Radians and Degrees Conversion Worksheet

Convert between radians and degrees, understand their relationship, and apply conversions to solve trigonometric problems.

Grade 11 Math TrigonometryRadians and Degrees

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Includes

Fill in the BlanksMultiple Choice2 Short AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSG.SRT.D.8CCSS.MATH.CONTENT.HSF.TF.A.1

8 sections · Free to use · Printable

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Read each question carefully and provide your answer in the space provided. Show all your work for conversion problems.

1. One complete revolution is equal to degrees or radians.

2. To convert degrees to radians, you multiply by the ratio .

3. To convert radians to degrees, you multiply by the ratio .

4. Which of the following is equivalent to 90 degrees?

π/4 radians

π/2 radians

π radians

2π radians

5. An angle of 3π/4 radians is equivalent to how many degrees?

45°

90°

135°

270°

6. Convert 210° to radians. Show your work.

7. Convert 5π/6 radians to degrees. Show your work.

8. On the number line below, mark the approximate positions of π/3 radians and 120 degrees. Label each point.

9. An angle of 1 radian is approximately 57.3 degrees.

True

False

10. There are 360 radians in a full circle.

True

False

11. A bicycle wheel makes 15 revolutions per minute. What is its angular speed in radians per second?