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:
[tex]\text{ Length of arc }=\theta \times r[/tex]
where, [tex]\theta = 108^\circ[/tex]
[tex]r=11\ ft[/tex]
First we will change degree to radian.
[tex]\text{Radian }=\dfrac{108^\circ}{180^\circ}\times \pi=\dfrac{3\pi}{5}[/tex]
[tex]\text{ Length of arc }=\dfrac{3\pi}{5} \times 11[/tex]
[tex]=20.73\text{ feet}[/tex]
Hence, The length of arc of the circle is 20.73 feet.
