Question

two circles touch internally the sum of their areas is 116 π cm^2
and the distance between their Centre is 6 cm find the radius of the circle​

Answer 1

Step-by-step explanation:

Difference between radii is distance between centres

Let the radius of bigger circle be x and smaller be y

x-y = 6

By given condition

$\pi {x}^{2} + \pi {y}^{2} = 116$

Solve these two equation to find x and y

Radii are 10 cm and 4cm