SOLUTION: Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 6 feet larger than that of the smaller circle and the ratio of the circumferences is 4

Algebra ->  Rectangles -> SOLUTION: Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 6 feet larger than that of the smaller circle and the ratio of the circumferences is 4       Log On


   

Question 901873: Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 6 feet larger than that of the smaller circle and the ratio of the circumferences is 4 colon 1, what are the radii of the two circles?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 6 feet larger than that of the smaller circle and the ratio of the circumferences is 4 colon 1, what are the radii of the two circles?
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Larger Circle DATA::
radius = x+6 ; circumference = 2pi(x+6)
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Smaller Circle DATA:
radius = x ; circumference = 2pi*x
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Equation:
(2pi(x+6)/2pi*x) = 4/1
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8pi*x = 2pi(x+6)
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4x = x+6
3x = 6
x = 2 (radius of smaller circle)
x+6 = 8 (radius of larger circle)
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Cheers,
Stan H.
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