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.