#BrainTeaser
A regular hexagon is inscribed in a square such that a diagonal of the hexagon runs parallel to a diagonal of the square. What fraction of the square is shaded?
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➻A regular hexagon is inscribed in a square such that a diagonal of the hexagon runs parallel to a diagonal of the square. What fraction of the square is shaded?
➻For a regular hexagon the shortest diagonal is √3a where a is its side.
And if we take any diagonal other than shortest diagonal its length is 2a.
➻Fraction=1/4
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Answer:
1/6(3π − (9√3
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