In figure 2, find the area of the shaded region, where ABCD is a square of side 14 cm in which four semi-circles of same radii are drawn as shown. (Take π = 3.14)
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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