If the area of same length in two circles subtend angles of `60^(@)` and `75^(@)` at their centres. Find the ratio of their radii.

Explanation

To solve the problem of finding the ratio of the radii of two circles that subtend angles of \(60^\circ\) and \(75^\circ\) at their centers, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between arc length, radius, and angle**:
The length of an arc \(s\) in a circle can be expressed in terms of the radius \(r\) and the angle \(\theta\) (in radians) as:
\[
s = r \cdot \theta
...