Question

Find the measure of the central angle of an arc if its length is 43.98π and the radius is 18.

Answer 1

7.68 radians

Explanation:

The arc length formula is s = rФ, where Ф is the central angle.

s

Solving this formula for Ф, we get Ф = -------

r

43.98π

and in this particular case, the central angle is Ф = -------------- , or

18

approximately 7.68 radians.