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In the figure, a side of the regular hexagon has length 20 cm. Find the area of the shaded portion.

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We have learnt that length of a side of the regular hexagon drawn inside a circle will be equal to the radius of the circle. So the radius of the circle will be 20 cm.

Area of the circle = πr2 = π × 20 × 20 = 400π

= 1256 cm2

Area of the regular hexagon \(=\frac{6\times\sqrt{3}\times a^2}{4}\)

Area of shaded portion = 1256 – 1039.2 = 216.8 cm2

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