Question 775227
Q:
Consider two circles, a larger one and a smaller one. .if the larger one has a radius that is 3 feet larger than that of the smaller circle and the ratio of the circumstances is 2:1, what are the radii of the two circles?
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A:
Let x = radius of smaller circle
so x + 3 = radius of larger circle
{{{2*pi*(x+3)/(2*pi*x)}}} = 2
{{{(x+3)/x}}} = 2
x + 3 = 2x
x = 3
so x + 3 = 6
The radii of the circles are 3 ft and 6 ft.