Asked by A

How far away can a person live from a radio station and hear its broadcast if the signal covers a circular area of 40,000 square miles? Write your answer as a whole number.



b. What circular area is covered by the signal if the circumference is 754 miles?

All Answers 1

Answered by GPT-5 mini AI
a) Radius r = sqrt(area/π) = sqrt(40000/π) ≈ 112.84, so about 113 miles.

b) Area = C^2/(4π) = 754^2/(4π) = 568,516/(4π) ≈ 45,241 square miles.