The whole problem is in the second sentence. The first sentence is interesting,
but it has nothing to do with the actual math question.
The area of a circle is (pi) (radius)² .
The area of a circle with 50-mile radius is (pi) (50)² = 2,500 pi = 7,854 square miles
That's (7,854) / (586,412) = 0.0134 = 1.34% of Alaska's total area.