Find the area of the shaded region in Fig. 12.22, where a circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre.

Explanation

To find the area of the shaded region in the given figure, we will follow these steps:

### Step 1: Identify the components of the shaded area
The shaded area consists of the area of the equilateral triangle OAB minus the area of the sector OXY formed by the circular arc.

### Step 2: Calculate the area of the equilateral triangle OAB
The formula for the area of an equilateral triangle is given by:
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