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Q33. In figure, ABCDEF is any regular hexagon withdifferent vertices A, B, C, D, E and F as the centres of circleswith same radius 'r' are drawn. Find the area of the shadedportion.

Answer»

area of a circle =πr^2

in a regular hexagon each angle is 120°

So the amount of circle inside the hexagon is 1/3rd of total area of circle.

so the area of one shaded part = 1/3(πr^2)

there are 6 shaded parts.

so the answer will be 6× 1/3 (πr^2) = 2πr^2



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