Question

Calculate the length of the bolded arc. Round your answer to the nearest hundredth (two decimal places). No units are needed.

Answer 1

The length of arc is given as:

`\begin{gathered} \text{length of arc = }(\theta)/(360)_{}*2*\pi* r \\ r\text{ is the radius of the circle} \\ \\ \theta=165^0 \\ r=11ft \end{gathered}`

Therefore, we can solve for the length of the arc:

`\begin{gathered} \text{length of arc =}(165)/(360)*2*\pi*11=10.0833\pi \\ \text{length of arc=31.6777ft}^2 \\ \\ To\text{ the nearest hundredth:} \\ \text{length of arc = 31.68ft}^2 \end{gathered}`