Question

Find the radian measure of the angle with the given degree measure -135

Answer 1

Remember that π radian = 180°.

(-8π / 6) radians * (180° / π radians) = -240°
(-6π / 4) radians * (180° / π radians) = -270°
(1π / 3) radians * (180° / π radians) = 60°
(-3π / 2) radians * (180° / π radians) = -270°
-8π radians * (180° / π radians) = -1440°

By remembering that π radian = 180°, you can also convert from degrees to radians.

Example:

-240° * (π radian / 180°) =
(-240π / 180) radians =
(-4π / 3) radians

Notice that this is (-8π / 6) radians in simplest terms.