If in two circles, arcs of the same length subtend angles `60^@`and `75^@`at the centre, find the ratio of their radii.

Explanation

To find the ratio of the radii of two circles given that arcs of the same length subtend angles of \(60^\circ\) and \(75^\circ\) at the center, we can follow these steps:

### Step 1: Understand the relationship between arc length, radius, and angle
The relationship between the arc length \(s\), radius \(r\), and angle \(\theta\) (in radians) is given by the formula:
\[ s = r \cdot \theta \]
Where:
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