Question

Please help me solving this Question

Answer 1

Radius of semi circle PDA=14/2=7cm
Area of semi circle =
$\frac{\pi \: {r}^{2} }{2}$
=
$\frac{22}{7} \times 7 \times 7 \times \frac{1}{2} = 77 {cm}^{2}$

Radius of semi circle BRC=7/2=3.5
Area of semi circle BRC =
$\frac{22}{7} \times 3.5 \times 3.5 \times \frac{1}{2} = 19.25 \: {cm}^{2}$

Radius of two small semi circles =3.5/2=1.75cm

Area of two small semi circles =
$2(( \frac{22}{7} \times 1.75 \times 1.75) \times \frac{1 }{2} ) = 9.625 {cm}^{2}$
Area of shaded portion = Area of semi circle PDA+ Area of semi circle BRC-area of two small semi circles

=77+19.25-9.625
=88.625cm²