SOLUTION: The radius of a circle is 1 meter longer than the radius of another circle. If their areas differ by 5 square meters, then what is the radius of each?

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Question 315147: The radius of a circle is 1 meter longer than the radius of another circle. If their areas differ by 5 square meters, then what is the radius of each?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
R2=R1%2B1
.
.
A1=pi%2AR1%5E2
A2=pi%2AR2%5E2
.
.
A2=A1%2B5
pi%2A%28R1%2B1%29%5E2=pi%2AR1%5E2%2B5
R1%5E2%2B2R1%2B1=R1%5E2%2B5%2Fpi
2R1%2B1=5%2Fpi
2R1=5%2Fpi-1
highlight_green%28+R1=5%2F%282pi%29-1%2F2%29
Then
R2=R1%2B1
highlight_green%28+R2=5%2F%282pi%29%2B1%2F2%29