If arcs of same length in two circles subtend angles of `60^0a n d75^0` at their centers, find the ratios of their radii.

Explanation

To solve the problem, we need to find the ratio of the radii of two circles given that the arcs of the same length subtend angles of \(60^\circ\) and \(75^\circ\) at their centers.

### Step-by-Step Solution:

1. **Convert Angles to Radians**:
- The angle \(60^\circ\) in radians is calculated as:
\[
60^\circ = \frac{60 \times \pi}{180} = \frac{\pi}{3}
...