Question

An angle measures 7pi/9 radians. What is the degree measure of the angle?

Answer 1

To convert into degrees:

1. You should know the percentage of the angle with respect to 2pi:

(7pi/9) / (2pi) = 7/18

2. Then, multiply the ratio to the 2pi angle in degrees, which is 360

360 * (7/18) = 140

Answer 2

(7pi/9)(180/pi)
140°

multiplying by 180/pi give you a degree measure