Question

How far away can a person live from a radio station and hear its broadcast if the signal covers a circular area of 40000 square miles?​

Answer 1

Answer: Approximately 112.86 miles in any direction away from the radio station

Step-by-step explanation: If the radio signal of the radio station can cover a circular area of 40,000 square miles, it simply means any direction away from the radio station that is within the coverage area. With the radio station as the center, we would have a radius that can reach any point within the area, and any distance beyond the radius would be out of coverage area. If the area has been given as 40000, then we have;

Area of a circle = pi x r^2

40000 = 3.14 x r^2

By cross multiplication we now have

40000/3.14 = r^2

Add the square root sign to both sides of the equation

112.8665 = r

Therefore, the farthest a person can live away from the radio station is approximately 112.86 miles