Angle Conversion in Coordinate Systems Worksheet
Practice converting angles between degrees and radians, and locating points on the unit circle.
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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?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
2. An angle of 7π/4 radians is coterminal with which of the following angles?
π/4 radians
-π/4 radians
3π/4 radians
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.
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