Question

A central angle drawn on a unit circle has a measure of 108°. The radian measure of this angle can be written as kπ. What is the value of k? Express your answer as a fraction in reduced form.

K=

Answer 1

k = 3/5

Explanation:

You want the coefficient of π in the radian measure of 108°.

Radians

There are π radians in 180°, so a fraction of 180° will be that fraction of π radians.

108° = (108°)×(π/180°) = (108/180)π = 3/5π

The value of k in 108° = kπ is 3/5.

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