Angle Conversion in Coordinate Systems Worksheet

Angle Conversion in Coordinate Systems

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?

2. An angle of 7π/4 radians is coterminal with which of the following angles?

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.