Question

If a radius is 16 feet long, what is the length of an arc whose measure is 60 degrees?

Answer 1

(16/3)π ft

Explanation:

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

Here the central angle is 60° so we must convert this to radians:

60° π π

----- * -------- = ----- radians

1 180° 3

Thus, the arc length of interest is s = (16 ft)(π/3 rad) = (16/3)π ft