Two circules touch internally. The sum of their areas is `116 pi cm^(2)` and the distance between their centres is 6 cm. find the radii of the circles.

Explanation

To solve the problem of finding the radii of two internally touching circles given the sum of their areas and the distance between their centers, we can follow these steps:

### Step 1: Define the Variables
Let the radius of the larger circle be \( R \) and the radius of the smaller circle be \( r \).

### Step 2: Write the Equation for the Sum of Areas
The area of a circle is given by the formula \( \pi r^2 \). Therefore, the areas of the larger and smaller circles are:
- Area of the larger circle: \( \pi R^2 \)
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