Angle Conversion in Coordinate Systems Worksheet
Practice converting between degrees and radians and identifying angles in different quadrants of the coordinate plane.
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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.
π/2 radians
3π/2 radians
2π radians
π radians
2. An angle of 5π/6 radians is equivalent to which degree measure?
120°
150°
210°
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.
6. An angle of -π/4 radians is coterminal with an angle of 7π/4 radians.
True
False
7. The reference angle for 210° is 30°.
True
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?
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