Find the radius of the circle in which the central angle of `15^(@)` intercepts an arc of length `(5pi)/(12)` cm.

Explanation

To find the radius of the circle in which the central angle of \(15^\circ\) intercepts an arc of length \(\frac{5\pi}{12}\) cm, we can follow these steps:

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

...