Question

two circles touch externally. their sum of their areas are 52cm2. if the distance between the two radii is 10cm, find the radii

Answer 1

5.........................

Answer 2

let x and y be the two radii of the circles
so a/q , πx^2 +πy^2 =52
so, x^2 + y ^2 = 52/π=16.5521..........1st
also distance between the centres =x+y =10...2nd
so, (x+y)^2=10^2=100
so, x^2+ y^2 +2xy=100
so, 16.5521+2xy=100
so, 2xy=83.4479
so, xy=41.724
so, x=41.724/y
so, from 2nd
41.724/y +y=10
y^2+41.724=10y
so solve the quadratic to get y and then put the value of y in 2nd and get the value of x...
the two values of x and y will be the required radii.....perhaps it's coming to be imaginary
10+-i root over 66.8 /2.