<PRE><B>Question 1015309</B>
circumference of the smaller circle is 2*pi*r


cicumference of the larger cicle is 2*pi*(r+5)


2*pi*(r+5)/2*pi*r = 2/1


the 2*pi in the numerator and denominator cancel out and you are left with:


(r+5/r = 2/1


cross multiply to get 2*r = r+5


subtract r from both sides of the equation to get 2*r - r = 5


combine like terms to get r = 5.


therefore r+5 = 10.


the radius of the smaller circle is 5 feet and the radius of the larger circle is 10 feet.


circumference of the smaller circle is 2*pi*r = 2*pi*5 = 10*pi.


circumference of the larger circle is 2*pi*r = 2*pi*10 = 20*pi.


circumference of the larger circle is two times the circumference of the smaller circle.


the radii of the two circles are 5 feet and 10 feet.








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