Question

Two circles touch externally. The sum of their areas is 130 πsq. cm and the distance between their centres is 14cm. Find the radii of the circles.

Answer 1

If two circles touch externally, then the distance between their centers is equal to the sum of their radii.
Let the radii of the two circles be r₁cm and r₂cm respectively. [Fig. 12.52].

It is given that the sum of the areas of two circles is equal to 130π cm².