Q39 of 45 Page 12

In Fig. 6, find the area of the shaded region. [Use π = 3.14]

(CBSE 2015)

Let the side of big square = A = 14 cm


Let the radius of semicircle, (Diameter of semicircle, d = = 4cm)


Let the side of small square = a = 4 cm (Side = Diameter of semicircle


Area of square ABCD = (Side)2 = (A)2 = (14)2 = 196cm2


Area of small square PQRS = (Side)2 = (a)2 = (4)2 = 16cm2



=


∴ Required area = (Area of big square – Area of small square – Area of 4 semicircles)


= (196-16-25.12) = 154.88 cm2

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(CBSE 2014)

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