Radian Measure Worksheet

This worksheet focuses on understanding and converting between radian and degree measures, and applying radian measure to arc length and sector area.

Grade 11 Math TrigonometryRadian Measure

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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.C.B.5CCSS.MATH.CONTENT.HSF.TF.A.1CCSS.MATH.CONTENT.HSF.TF.A.2

Topics

radiandegreetrigonometryarc lengthsector areagrade 11

6 sections · Free to use · Printable

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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 by .

2. To convert radians to degrees, multiply by .

3. One full revolution is equal to degrees or radians.

4. Which of the following is equivalent to 180 degrees?

π/2 radians

π radians

2π radians

3π/2 radians

5. An angle of 60 degrees is equal to which radian measure?

π/6

π/4

π/3

π/2

6. Convert 210 degrees to radians. Express your answer in terms of π.

7. Convert 5π/4 radians to degrees.

8. A circle has a radius of 8 cm. Find the length of the arc subtended by a central angle of 3π/4 radians.

9. A sector of a circle has a radius of 10 inches and a central angle of 120 degrees. Find the area of the sector.

10. An angle of 90 degrees is equivalent to π/2 radians.

True

False

11. The formula for arc length is s = rθ, where θ is in degrees.

True

False