Question

An angle measures 3pi/4 radians.
What is this angle's measure, in degrees?

Answer 1

135°

Explanation:

To convert from radian measure to degree measure

degree measure = radian measure ×
`(180)/(\pi )`, so

degree =
`(3\pi )/(4)` ×
`(180)/(\pi )`

Cancel π on numerator/denominator and 4, 180 by 4, leaving

degree = 3 × 45 = 135°

Answer 2

1 radian = 180 / PI degrees

3 PI / 4 radians * 180 / PI the "PI's" cancel and we get

3 / 4 * 180 = 135 degrees

Explanation: