Explanation
We are given the following:
[tex]\begin{gathered} \theta=40\degree \\ r=8\text{ inch} \end{gathered}[/tex]We are required to determine the length of an arc with the given information.
We know that the length of an arc is given as:
[tex]L=\frac{2\pi\theta r}{360}[/tex]Therefore, we have:
[tex]\begin{gathered} L=\frac{2\pi(40)(8)}{360} \\ L=\frac{640\pi}{360} \\ L=\frac{16\pi}{9}\text{ inches} \end{gathered}[/tex]Hence, the answer is:
[tex]L=\frac{16\pi}{9}\text{ }\imaginaryI\text{nches}[/tex]