Find the length of the chord which subtends an angle of `120^(@)` at the centre of the circle of radius 6 cm.

Explanation

To find the length of the chord that subtends an angle of \(120^\circ\) at the center of a circle with a radius of 6 cm, we can use the following steps:

### Step 1: Understand the Geometry
First, we need to visualize the situation. We have a circle with a center \(O\) and a radius \(R = 6\) cm. The chord \(AB\) subtends an angle of \(120^\circ\) at the center \(O\).

### Step 2: Use the Chord Length Formula
The length of a chord \(L\) that subtends an angle \(\theta\) at the center of a circle of radius \(R\) can be calculated using the formula:
\[
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