The length of arc is given as:
[tex]\begin{gathered} \text{length of arc = }\frac{\theta}{360}_{}\times2\times\pi\times r \\ r\text{ is the radius of the circle} \\ \\ \theta=165^0 \\ r=11ft \end{gathered}[/tex]
Therefore, we can solve for the length of the arc:
[tex]\begin{gathered} \text{length of arc =}\frac{165}{360}\times2\times\pi\times11=10.0833\pi \\ \text{length of arc=31.6777ft}^2 \\ \\ To\text{ the nearest hundredth:} \\ \text{length of arc = 31.68ft}^2 \end{gathered}[/tex]
