Question

In Figure, find the area of the shaded region [Use π = 3.14]

Answer 1

From the symmetry of the given figure, we have

Let the radius of semicircle, r = `d/2 = 4/2 = 2cm` (Diameter of semicircle, d = `14/2 - 3` = 4 cm )

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

Area of 4 Semicircle = 4 x `1/2 pir^2`

= 4 x `1/2 xx 3.14 xx 2^2 = 25.12 cm^2`

∴ Required area = ( Area of big square – Area of small square  – Area of 4 semicircles ) = ( 196 - 16 - 25.12 ) = 154.88 cm²