Angle Conversion in Coordinate Systems Worksheet
Grade 12 Math worksheet on converting angles between degrees and radians, and representing them in various coordinate systems.
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Topics
Angle Conversion in Coordinate Systems
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Read each question carefully and provide accurate answers. Show all your work for full credit.
1. Convert 210° to radians.
7π/6 radians
5π/6 radians
7π/12 radians
11π/6 radians
2. Convert 3π/4 radians to degrees.
120°
135°
150°
225°
3. An angle of 360° is equivalent to radians.
4. The unit circle has a radius of .
5. Draw an angle of 45° in standard position on a coordinate plane and label its terminal side.
6. Explain the relationship between the arc length, radius, and central angle in radians.
7. A positive angle is measured clockwise from the positive x-axis.
True
False
8. An angle of -90° is coterminal with an angle of 270°.
True
False
9. A bicycle wheel has a radius of 30 cm. If the wheel rotates through an angle of 5π/3 radians, what is the distance traveled by a point on the rim of the wheel?
10. An object travels along a circular path with a radius of 10 meters. If it sweeps out an angle of 150°, what is the area of the sector formed by its path?
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