Question

Find the arc length of a sector with a radius of 9 feet and a central angle of 18°. Give answer in

terms of pi.

Answer 1

The arc length of a sector:

`A = (9)/(10) \pi`

Explanation:

-The equation for finding the Arc length, would be:

`Arc length = (a)/(360\textdegree) 2\pi r`

-Use the given radius and the central angle for the equation:

`A = (18\textdegree)/(360\textdegree) 2\pi (9)`

-Then, solve the equation:

`A = (18\textdegree)/(360\textdegree) * 2\pi * 9`

`A = (1)/(20) * 2\pi * 9`

`A = (2)/(20)\pi * 9`

`A = (1)/(10)\pi * 9`

`A = (9)/(10)\pi`

So, the arc length of a sector is
`(9)/(10) \pi` .