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The area of an equilateral DeltaABC is 1...

The area of an equilateral `DeltaABC` is 17320.5 `cm^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 the figure). Find the area of the shaded region. [Take `pi` = 3.14 and `sqrt3` = 1.73205]

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