Question

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

Answer 1

Answer:

1 radian = 180 / PI degrees

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

3 / 4 * 180 = 135 degrees

Step-by-step explanation:

Answer 2

Answer:

135°

Step-by-step explanation:

To convert from radian measure to degree measure

degree measure = radian measure × $\frac{180}{\pi }$, so

degree = $\frac{3\pi }{4}$ × $\frac{180}{\pi }$

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

degree = 3 × 45 = 135°