Question
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.
THANK YOU!!
THANK YOU!!
Answers
Ms. Sue
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.
A = 3.14 * 50^2
A = 7,850 square miles
Use the same method to find the area with a radius of 75 miles.
Genus101
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 :)
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 :)
Anonymous
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