Answer:
\(\frac{18\pi}{5}\ in\)
Step-by-step explanation:
we know that
The formula to calculate the length of an arc of the circle is equal to
\(L=\frac{\theta}{360\°}\pi D\)
where
D is the diameter of the circle
\(\theta\) is the central angle
In this problem we have
\(D=18\ in, \theta=72\°\)
substitute the values
\(L=\frac{72\°}{360\°}\pi (18)\)
\(L=\frac{1}{5}\pi (18)\)
\(L=\frac{18\pi}{5}\ in\)
