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Angle Conversion in Coordinate Systems Worksheet

Practice converting between degrees and radians and identifying angles in different quadrants of the coordinate plane.

Grade 10 Math GeometryAngle Conversion in Coordinate Systems
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSG.SRT.D.8CCSS.MATH.CONTENT.HSF.TF.A.1
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Angle Conversion in Coordinate Systems

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

1. Convert 270° to radians.

a

π/2 radians

b

3π/2 radians

c

2π radians

d

π radians

2. An angle of 5π/6 radians is equivalent to which degree measure?

a

120°

b

150°

c

210°

d

300°

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

4. An angle of 45° is in the   quadrant.

5. Draw an angle of 300° in standard position on the coordinate plane. Then, convert 300° to radians.

-10-8-6-4-2246810-10-8-6-4-2246810

6. An angle of -π/4 radians is coterminal with an angle of 7π/4 radians.

T

True

F

False

7. The reference angle for 210° is 30°.

T

True

F

False

8. A Ferris wheel completes one revolution in 2 minutes. If a rider starts at the lowest point and the wheel rotates counterclockwise, what is the angle in radians (from the positive x-axis) of the rider after 45 seconds?