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

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.