The area of an equilateral triangle ABC is `17320. 5\ c m^2`. With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (see Fig. 12.28). Find the area of the shaded region. (`Use ` `π = 3.14 and ``sqrt3`= 1.73205)

Explanation

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

### Step 1: Find the side length of the equilateral triangle
The area \( A \) of an equilateral triangle can be given by the formula:
\[ A = \frac{\sqrt{3}}{4} s^2 \]
where \( s \) is the length of the side of the triangle.
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