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