Question

find the length of an arc or 40° in a circle with an 8 inch radius. 64 pi/9 inches16 pi/9 inches 8 pi/9 inches

Answer 1

Explanation

We are given the following:

`\begin{gathered} \theta=40\degree \\ r=8\text{ inch} \end{gathered}`

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:

`L=(2\pi\theta r)/(360)`

Therefore, we have:

`\begin{gathered} L=(2\pi(40)(8))/(360) \\ L=(640\pi)/(360) \\ L=(16\pi)/(9)\text{ inches} \end{gathered}`

Hence, the answer is:

`L=(16\pi)/(9)\text{ }\imaginaryI\text{nches}`