Hello, snigdha!
Another approach . . .
Two circles touch internally.
The sum of their areas is 116π cm².
The distance between their centres is 6 cm.
Find the radii of the circles.Code:* * * * * * * * * * * - * o * - : * | * : : * 6 R * * | * * : : * o * - : * * | * * r - * * * -
The radius of the large circle is
The radius of the small circle is
We see that: .
The area of the large circle is: .
The area of the small circle is: .
The sum of the areas is
So we have: .
. . Now solve for