Answer: 2π inches or 6.28 inches
Explanation:
To solve this problem you must apply the formula shown below:
![arclenght=(2r\pi)(C/360)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jzmekdn287ygxxg7tqk4noddbx3k3vj0nk.png)
Where r is the radius (r=8 inches) and C is the central angle (45°).
Then, you must subsitute values into the formula.
Therefore, you obtain that the length of the arc is:
![arclenght=(2(8in)\pi)((45/360)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tl4vzazak47cn1p3cg1ty6obasoe2cgxrv.png)
![arclenght=2\pi\ in=6.28in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l7fxn253neea8pyu0eq0w78bqna8vecfg7.png)