Question

find the ares of shaded region

Answer 1

Radius(r) of the semi circles =
$\frac{1}{2} \times ( \frac{14}{2}cm - 3cm)$
=2cm
Ar.of the shaded region=ar. of square - ar. of the 4 semicircles
$= {s}^{2} - \frac{1}{2} \times (4\pi {r}^{2})$
$= {(14cm)}^{2} - \frac{1}{2} \times (4 \times \frac{22}{7} \times ( {2cm}^{2} ))$
$= 196 {cm}^{2} - \frac{1}{2} \times \frac{352}{7}$
$= 196 {cm}^{2} - \frac{176}{7} {cm}^{2}$
$= \frac{1176 {cm}^{2} - 176 {cm}^{2} }{6}$
$= \frac{1000 {cm}^{2} }{6}$
$= 166.67 {cm}^{2}$

Answer 2

Please see the attachment