SOLUTION: 94. Areas of two circles. 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 363723: 94. Areas of two circles. 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?
Found 2 solutions by robertb, ankor@dixie-net.com:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
I will assume the following problem: Areas of two circles. The radius of a circle is 1 meter
longer than the radius of another circle. If their areas differ
by square meters, then what is the radius of each?
Then the answer is as follows:
. Clearing the equation of and simplifying, ,
,
or r = 2 meters, the radius of the smaller circle, and r +1 = 3 meters, the radius of the bigger circle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Areas of two circles. 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?
:
Two radii, r, (r+1)
- = 5
- = 5
Divide both sides by pi
- =
2r + 1 = 1.59
2r = 1.59 - 1
2r = .59
r =
r = .295 m is the radius of the smaller, 1.295 m is the radius of the larger
:
:
Check this on a calc: enter (pi*1.295^2) - (pi*.295^2) = 4.995 ~ 5
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