Answer
Difference in the area: 65.94mi$^{2}$
Work Step by Step
We must find the area of each circle and then find the difference in area of the two.
Area of a Circle: $A$ = $\pi$$r$$^{2}$
$A$$_{1}$ = (3.14)(5 mi)$^{2}$
$A$$_{1}$ = 78.5 mi$^{2}$
$A$$_{2}$ = (3.14)(2 mi)$^{2}$
$A$$_{2}$ = 12.56 mi$^{2}$
$A$$_{difference}$ = 78.5 mi$^{2}$ - 12.56 mi$^{2}$
$A$$_{difference}$ = 65.94mi$^{2}$