A radio station broadcasts a signal over an area with radius of 50 miles. The station can relay the signal and broadcast over an area with a radius of 75 miles. How much greater is the area of broadcast region when the signal is relayed? Round your answer to nearest square mile.

Question

THANK YOU!!

Answer 1

A = pi * r^2
A = 3.14 * 50^2
A = 7,850 square miles

Use the same method to find the area with a radius of 75 miles.

Answer 2

A = pi * r^2
A = 3.14 * 50^2
A = 7,850 square miles (area of the 50 mile broadcast signal)

A = pi * r^2
A = 3.14 * 75^2
A = 17,662.5 = 17,663 square miles (area of the 75 mile relayed signal)

Now we just need to subtract the 50 mile signal from the 75 mile signal, so:

17,663 - 7,850 = 9,813 square miles greater

Hope this helps :)

Answer 3

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Answer 4

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Answer 5

I don’t even know