An fm radio station signal travels in a 40-mile radius but an am 4-mile radius how much more area does the fm station cover than the am station show steps,

This is area of a circle.

A = π
FM = π

AM = π

Since π will cancel itself out for both, you only need to compare the square of 40 to 4.

= 1600
= 16

Thus, 1600 is 100 times greater than 16.

1600 * 3.14 = 5024
16 * 3.14 = 50.24

100 times more area. This is because 40 is 10 times greater than 4 and squaring it creates the 100 times.