Angles and Measures Unit Circle

• 36°

• 36

• 900°

• 72

Convert 148° to radians

Name the angle indicated by the graph in both degrees and radians.

f

g

h

e

d

c

b

a

Identify the positive angle in both degrees and radians that represent point L.

What is the measure of the given angle?

• 17pi/4

• 9pi/4

• -pi/4

• -7pi/4

The diagram below shows an angle, θ, graphed in the xy-coordinate plane. Segment RT is the initial side of the angle, and segment RM is the terminal side. Segments RT and RM are radii of the unit circle centered at the origin R(0, 0).

The x-coordinate of point M is -1/2. What is the measure of θ to the nearest thousandth of a radian?

• 4.712

• 4.189

• 3.927

• 3.665

Which of the following is closest to the measure of the angle drawn by the green curve?

• 5/6 π

• 5/3 π

• 4/5 π

• 4/3 π

What is the angle measure, in degrees, at the red marking on the unit circle?

• 30°

• 45°

• 60°

• 90°

Identify the Positive angle in both radians and degrees that represent point L.