In May $1986,$ authorities established an off$-$limits area known as the exclusion zone. The zone covers about $1,017$ square miles. What is the radius of the exclusion zone in miles and kilometers if $1$ mi $=1\mathrm{.}6$ km$?$ How does this distance compare to the distance between UCA and Nuclear One in Russellville? Hint: $($Area of a circle$)=$ pi r$^2$