Q. 154.5( 11 Votes )

In figure 2, find

Answer :


Given: ABCD is a square of side 14cm each


and four semicircles of same radii


To find: Area of shaded region


Proof:





cm2


In figure, there are 4 semi-circles of same radius 2cm


So, Area of 4 Semi – circle = 4 × 3.14 × 2


= 8 × 3.14


= 25.12 cm2


Area of square ABCD with side 14cm = (side)2


= (14)2


= 196 cm2


Area of smaller square PQRS = (side)2


= (4)2


= 16


Area of shaded region = Area of square ABCD – Area of square PQRS – Area of 4 semi – circle


= 196 – 16 – 25.12


= 154.88cm2


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