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The Area of a circle is Pi times Radius Squared. If you can see 12 miles in every direction, you see everything in a circle 24 miles across. The circle's radius is 12 miles (distance from the center to the edge). Multiply the radius by itself (square it) then multiply that by pi (3.14...) So, pi (3.14159...) times radius squared (12 x 12 = 144 ) = 452.3893421..., a little over 452 and a third square miles.

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