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 problems.

Grade 9 Math TrigonometryRadian Measure

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Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

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

Topics

mathtrigonometryradian measuregrade 9

7 sections · Free to use · Printable

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Radian Measure Worksheet

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Read each question carefully and provide the best answer. Show all your work for full credit.

1. What is the radian measure equivalent to 180 degrees?

π/2 radians

π radians

2π radians

3π/2 radians

2. How many degrees are in 2π radians?

90 degrees

180 degrees

270 degrees

360 degrees

1. To convert degrees to radians, multiply the degree measure by .

2. To convert radians to degrees, multiply the radian measure by .

3. 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.

1. Convert 45 degrees to radians. Show your work.

2. Convert π/3 radians to degrees. Show your work.

1. A circle has a radius of 6 cm. Find the length of the arc subtended by a central angle of 2π/3 radians.

2. A sector of a circle has a radius of 10 meters and a central angle of 30 degrees. Find the area of the sector. (Hint: Convert degrees to radians first).

1. A full rotation around a circle is equivalent to 2π radians.

True

False

2. To convert radians to degrees, you multiply by π/180.

True

False