Aradio station broadcast signal over an area with the radius of 50 miles. the station can relay the signal and broadcast over there with the radius is 75 miles. how much greater is the area of the broadcast region when the signal is relayed.

If you would like to know how much greater is the area of the broadcast region when the signal is relayed, you can calculate this using the following steps:

x% of 50 miles is 75 miles
x% * 50 = 75
x/100 * 50 = 75     /*100/50
x = 75 * 100 / 50
x = 150%

150% - 100% = 50%

The area of the broadcast region when the signal is relayed is 50% greater.