Question

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, please

Answer 1

This is area of a circle.

A = π$r^{2}$
FM = π$40^{2}$

AM = π$4^{2}$

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

$40^{2}$ = 1600
$4^{2}$ = 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.