SOLUTION: Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 10 feet larger than that of the smaller circle and the ratio of the circumferences is

Algebra ->  Circles -> SOLUTION: Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 10 feet larger than that of the smaller circle and the ratio of the circumferences is       Log On


   



Question 1107785: Consider two circles, a smaller one and a larger one. If the larger one has a radius that is 10 feet larger than that of the smaller circle and the ratio of the circumferences is 6 colon 1, what are the radii of the two circles?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
circumference=2pi%2Aradius
If the circumferences are in a 6:1 ratio,
the radii are in a 6:1 ratio.
That means that the radius of the larger circle is 6 times the radius of the small one.
Let us call the small circle's radius x .
Then the large circle's radius is 6x ,
and the difference between the radii is
6x-x=10ft
x=10ft%2F5
x=10ft%2F5
x=highlight%282ft%29 is the radius of the small circle , and
2ft%2B10ft=highlight%2812ft%29 is the radius of the large circle.