Answer: 2π inches or 6.28 inches
Step-by-step explanation:
To solve this problem you must apply the formula shown below:
[tex]arclenght=(2r\pi)(C/360)[/tex]
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:
[tex]arclenght=(2(8in)\pi)((45/360)[/tex]
[tex]arclenght=2\pi\ in=6.28in[/tex]