Question

For a circle radius of 8 feet, find the arc length s if the central angle is 10*

s=4/9pi feet
s=16/9pi feet
s=2/9pi feet
s=8/9pi feet

Answer 1

The correct answer is Option 1: s = 4/9pi feet

Explanation:

Given that

The radius of circle is 8 feet

r = 8

Central angle is:10°

The arc length is denoted by s and is calculated by the formula:

`s = 2\pi r.(x)/(360 \textdegree)`

Here x is the central angle

Putting the known values we will get:

`s = 2\pi (8).(10 \textdegree)/(360 \textdegree)\\s = 16\pi . ((1)/(36))\\s = (16\pi)/(36)\\s = (4)/(9) \pi`

The arc length is 4/9 pi feet.

Hence,

The correct answer is Option 1: s = 4/9pi feet