Question

A circle has a radius of 11 feet. What is the length of an arc of circle that is captured by a central angle that measures 108°?

Answer 1

`6.6 pi` ft `~~ 20.73` ft

Explanation:

The arc length of a circle is its circumference `pi d = 2 pi r`.

It you only want to find the portion of an arc, you need to multiply the circumference by the portion of the circle: `108/360 = .3`

The arc length of the central angle:
`108^@ = 108/360 * 2 pi * 11 = .3 * 2 * 11 pi = 6.6 pi ~~ 20.73` ft