Question

Two circles touch each other internally.The sum of their areas is 130pi cmsquare and the distance between their centres is 8cm.Find the radii of the two circles.

Answer 1

let 1st radius = r cm
2nd will be = 14-r cm
a/c question,
(pi*r^2) + (pi*(14-r)^2) = 130 pi
=> r^2 + (14-r)^2 = 130
=> 2*r^2 - (28*r) + 66 = 0
=> r^2 - 14*r + 33 = 0
=> r^2 - 3*r - 11*r + 33 = 0
=> r(r - 3) -11(r-3) = 0
r = 3 or r = 11
if r = 3 then 2nd will be = 11
r = 11 then 2nd will be = 3 ans

Answer 2

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