Question

2 circle touches externally. The sum of their area is 58πcm2 and the distance between this center is 10cm.find the radis of a 2 circle.

Answer 1

here's your answer :-

let x=radius of one circle
10-x=radius of second circle
..
πx^2+π(10-x)^2=58π
πx^2+π(100-20x+x^2)=58π
divide by π
x^2+100-20x+x^2=58
2x^2-20x+42=0
divide by 2
x^2-10x+21=0
(x-7)(x-3)=0
x=7
or
x=3
..
ans:
The radii of the two circles: 3cm and 7cm 
hope it helps u;)