Question

Find the measure in degrees and radians of the angle representing 7/8 of a circle.

Answer 1

in degrees it is 360 * 7/8 = 315 degrees

in radians this is 315 * pi / 180 = 5.50 radians to nearest hundredth

Answer 2

The answers are:

To solve this, first, we will divide the circle in 8 parts:

360 degrees/8 = 45 degrees or
2 radians/8 = 1/4 rads

7/8 of a circle would then be:

45 degrees * 7 = 315 degrees or
1/4 rads *7 = 1.75 radians