Question

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.

Answer 1

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

The diameter is 9ft

The angle is 180 degrees + 60 degrees = 240 degrees

$s=\frac{θ}{360}\ast\pi d$

Replacing:

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

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