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nooooo5
Here we have to find the length of arc AB.

Length of an arc = ( central angle/360)×2 πr

= ( 64.6 / 360 ) × 2 × 5 miles × 22 / 7

= 0.179 × 220 miles / 7

= 39.38 miles / 7

= 5.625 miles.

The required answer is 5.625 miles.
jcherry99
Remark
The circumference of a complete circle = 2*pi*r
A part of the circumference = k * 2* pi * r / 360 where k is the measure of any central angle.

Givens
k = 64.6 degrees
r = 5 miles

Formula
Walking distance = k/360 * 2 * pi * r

Sub and Solve
Walking Distance = (64.6/360) * 2 * 3.14 * 5
Walking distance = 5.6346 miles