The diameter of the track is d = 1/4 miles.
Detemine the distance run by Andrew in one lap.
[tex]\begin{gathered} D=\pi d \\ =\pi\cdot\frac{1}{4} \\ =0.7854 \end{gathered}[/tex]Determine the diatnce covered in 11 laps.
[tex]\begin{gathered} D^{\prime}=11\cdot0.7854 \\ =8.6394 \\ \approx8.6 \end{gathered}[/tex]So answer is 8.6 miles.