Question

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

Answer 1

From the symmetry of the given figure, we have

$\therefore$ Area of the shaded region = Area of the square with side 14 cm - (Area of square with side 4 cm + 4 $\times$ Area of each semicircle with radius 2 cm)
$=14\times 14-[4\times 4+4\times \frac{1}{2}\times 3.14\times (2{)}^2]$
= 196 - (16 + 25.12)
= 196 - 41.12
= 154.88 cm${}^2$