Question

In the figure ABCDEF is a regtangular hexagon with each side 14cm. From each vertex arcs with radius 7 cm are drawn. Find the area of shadded portion
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Answer 1

Answer:

Hi, Angle ABC = 120 degreeSo area of one shaded part out of 6 shaded part = area of circle with angle 120 degree −area of triangle in that part = 120360×πr2− 12×7×7×sin120= 227×13×7×7− 492×3√2= (1543− 493√4)  cm2So area of all the shaded part = 6×(1543− 493√4)  cm2

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