Q29 of 27 Page 1

In the figure, ABCD is a square of side 14 cm. Semi-circles are drawn with each side of square as diameter. Find the area of the shaded region.


Subtracting area of two semi circles from the whole square gives us the area of 2 parts of the shaded region. Being symmetric, we can double the same to obtain the area of all the 4 parts of the shaded region.


Area of square = 14 × 14 = 196 cm2


Area of two semicircles with radii 7 cm = = 154 cm2


Area of two parts of the shaded region = 196 – 154 = 42 cm2


Area of all the four parts = 2 × 42 = 84 cm2


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