Systems and Matrices - Beginning Pre-Calculus for Game Developers - page 280

Table 12.1 Compass Direction Measurements
Degrees Radians Compass Direction

0 0 East

4

458 Northeast

2

908 North

3 4

1358 Northwest

1808 p West

5 4 2258 Southwest

3 2 2708 South

7 4

315 8 Southeast

Degrees to Radians
To convert degrees to radians, you use this formula:

Angle in degrees
180

¼ Angle in radians

Here are a few examples of use of this conversion:

180
180 ¼ð 1 Þ

180 degrees ¼ radians

120
180 ¼

2 3 radians

120 degrees ¼

180 ¼ 9 radians

20

25 degrees ¼

Exercise Set 12.1
For each of the following degree measurements, identify the measurement in radians.

a. 30 8

b. 60 8

c. 180 8

d. 90 8

e. 315 8

f. 45 8