Answer :

**Given:** ABCD is a square of side 14cm each

and four semicircles of same radii

To find: Area of shaded region

Proof:

cm^{2}

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 cm^{2}

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

= (14)^{2}

= 196 cm^{2}

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

= 154.88cm^{2}

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