How far is a 100 mile radius from Orem Utah?
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Asked in Radio
An fm radio station signal travels in a 40 mile radius an am radio station signal travels in a 4 mile radius how much more area does the fm station cover than the am station?
You're talking about circular areas. -- The area of a circle is (pi) x (radius)2 . -- The area of the 4-mile radius is (pi) x (4)2 = 16 pi square miles -- The area of a circle is proportional to the square of its radius. So the area of the 40-mile radius is (10)2 = 100 times the area of the 4-mile radius = 1,600 pi square miles. The larger circle has (99 times the area of the 4-mile radius) more area than the smaller circle has. (99) x (16 pi) = 1,584 pi = 4,976.3 square miles more than the smaller circle.