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 circles that touch internally, we can follow these steps:

### Step-by-Step Solution:

1. **Define Variables:**
Let the radius of the outer circle be \( R \) and the radius of the inner circle be \( r \).

2. **Use the Given Information:**
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