Question

A particular circle with a radius of 20 mm contains an arc whose length is 20 pi mm. Find

the measure of the arc in degrees. Then convert the measurement to radians.

Answer 1

Below in bold.

Explanation:

The measure of the arc in degrees = 360 * 20/circumference

= 360 * 20pi/2*pi*20

= 360 * 20/40

= 360 * 1/2

= 180 degrees.

In radians this is

180 * pi/180

= pi radians.