Question

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

Answer 1

Answer:

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

Step-by-step 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:

$s = 2\pi r.\frac{x}{360 \textdegree}$

Here x is the central angle

Putting the known values we will get:

$s = 2\pi (8).\frac{10 \textdegree}{360 \textdegree}\\s = 16\pi . (\frac{1}{36})\\s = \frac{16\pi}{36}\\s = \frac{4}{9} \pi$

The arc length is 4/9 pi feet.

Hence,

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