Answer:
[tex]\large \boxed{\text{43.98 mi}}$}[/tex]
Step-by-step explanation:
The formula for arc length (s) as a function of the angle (θ) is
s = rθ, where θ is measured in radians.
If θ is measured in degrees, the formula becomes
[tex]s = \dfrac{\pi r \theta }{180}[/tex]
Calculation:
[tex]s = \dfrac{\pi \times 8 \times 315}{180} = 14 \pi \approx \textbf{43.98 mi}\\\\\text{The arc length is approximately $\large \boxed{\textbf{43.98 mi}}$}[/tex]
