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50% of the population in Alaska lives within a 50-mile radius of Anchorage. If the total area of Alaska is 586,412 square miles, about what percent of the total land area is within 50 miles of Anchorage? 
I would like to know how to go about solving this problem and the answer.

Sagot :

AL2006
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.

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