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?

Question 299867: 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 ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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?
:
Let r = radius of one circle
then
(r+1) = radius of the other circle
:
Large circle area - small circle area = 5
- = 5
FOIL
- = 5
divide by pi
r^2 + 2r + 1 - r^2 =
r^2 + 2r + 1 - r^2 = 1.59
2r + 1 = 1.59
2r = 1.59 - 1
2r = .59
r =
r = .295 is the radius of the small circle
and 1.295 is the radius of the larger circle
:
:
See if that flies:
- =
5.27 - .27 = 5

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