Question

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

Answer 1

20.724 because be this formula m/360 times 2 times3.14 times r

Answer 2

Answer:

The length of arc of the circle is 20.73 feet.

Step-by-step 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:

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

where, $\theta = 108^\circ$

$r=11\ ft$

First we will change degree to radian.

$\text{Radian }=\dfrac{108^\circ}{180^\circ}\times \pi=\dfrac{3\pi}{5}$

$\text{ Length of arc }=\dfrac{3\pi}{5} \times 11$

                      $=20.73\text{ feet}$

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