In fig., ABCDEF is any regular hexagon with vertices A, B, C, D, E and \( \mathrm{F} \). These a...

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In fig., ABCDEF is any regular hexagon with vertices A, B, C, D, E and \( \mathrm{F} \). These are also the centres of circles with the same radius \( r \) . The area of the shaded portion is \( n \pi r^{2} \), then find the value of n.
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