Angle Conversion in Coordinate Systems
Practice converting angles between degrees and radians, and understanding their representation in coordinate systems.
Includes
Standards
Angle Conversion in Coordinate Systems
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Read each question carefully and convert the angles as required. Show all your work for full credit.
1. To convert degrees to radians, you multiply the degree measure by .
2. An angle of 270 degrees is equivalent to radians.
3. A full revolution in a coordinate system is degrees or 2π radians.
4. Which of the following is equivalent to π/3 radians?
30°
45°
60°
90°
5. An angle of 150 degrees lies in which quadrant?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
6. Convert 315° to radians. Express your answer in terms of π.
7. Convert 5π/6 radians to degrees.
8. An angle of -90 degrees is coterminal with an angle of 270 degrees.
True
False
9. The reference angle for 210 degrees is 30 degrees.
True
False
10. Draw an angle of 135 degrees in standard position on the coordinate plane.
11. Draw an angle of -2π/3 radians in standard position on the coordinate plane.
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