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Angle Conversion in Coordinate Systems Worksheet

Practice converting angles between degrees and radians, and locating points on the unit circle.

Grade 9 Math GeometryAngle Conversion in Coordinate Systems
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Includes

3 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSG.SRT.D.8CCSS.MATH.CONTENT.HSF.TF.A.1CCSS.MATH.CONTENT.HSF.TF.A.2

Topics

mathgeometryanglesradiansdegreesunit circlecoordinate systems
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Angle Conversion in Coordinate Systems

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

Convert the following angles from degrees to radians. Express your answers in terms of π.

1. 30°

2. 135°

3. 270°

4. -60°

Convert the following angles from radians to degrees.

1. π/4 radians

2. 5π/6 radians

3. 3π/2 radians

4. -2π/3 radians

1. In which quadrant does an angle of 210° lie?

a

Quadrant I

b

Quadrant II

c

Quadrant III

d

Quadrant IV

2. An angle of 7π/4 radians is coterminal with which of the following angles?

a

π/4 radians

b

-π/4 radians

c

3π/4 radians

d

5π/4 radians

Complete the following statements:

1. The angle 90° is equivalent to   radians.

2. An angle of π radians is equal to   degrees.

3. A full revolution around the unit circle is 360° or   radians.

4. The coordinates of the point on the unit circle corresponding to an angle of 0 radians are ( ,  ).

A wheel rotates 540° counterclockwise. How many radians has the wheel rotated? Show your work.