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

Question

asked Oct 8, 2019 193k views

2 Answers

Richleland · Answer 1 · 2019-10-14T19:53:36+0000

Answer:

The length of arc of the circle is 20.73 feet.

Explanation:

A circle has a radius of 11 feet.

The length of an arc of that circle that is captured by a central angle that measures 108°

Formula:

$\text{ Length of arc }=\theta * r$

where,
$\theta = 108^\circ$

$r=11\ ft$

First we will change degree to radian.

$\text{Radian }=(108^\circ)/(180^\circ)* \pi=(3\pi)/(5)$

$\text{ Length of arc }=(3\pi)/(5) * 11$

$=20.73\text{ feet}$

Hence, The length of arc of the circle is 20.73 feet.