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find the length of the arc shown in red. answer in terms of pi. the length of the arc is __ ft. need exact terms of pi.

find the length of the arc shown in red. answer in terms of pi. the length of the-example-1

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The length of the arc is given by the next equation;

The diameter is 9ft

The angle is 180 degrees + 60 degrees = 240 degrees


s=(θ)/(360)\ast\pi d

Replacing:


\begin{gathered} s=(240)/(360)\ast\pi(12ft) \\ s=8\pi ft \end{gathered}

Hence, the length of the arc is 8pi ft.

User Jeff Richards
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