Question

From the figure find the area of shaded region if PQRS is a square with side 7cm.
$\pi = \frac{22}{7}$
Plz explain step by step plz​

Answer 1

Area of the shaded region will be,

$area \: of \: square \: - area \: of \: cirle \\ = {7}^{2} - \pi {3.5}^{2} \\ = {7}^{2} - \frac{22}{7} \times {3.5}^{2} \\ = {7}^{2} - \frac{22}{2} \times 3.5 \\ = {7}^{2} - 11 \times 3.5 \\ = 49 - 38.5 \\ = 10.5cm ^{2}$

Answer 2

EXPLANATION.

PQRS is a square of sides = 7 CM

Let the radius of circle = d/2 = 7/2 = 3.5

$\sf : \implies \: area \: of \: shaded \: region \\ \\ \sf : \implies \: area \: of \: square \: = {s}^{2} \\ \\ \sf : \implies \: area \: of \: circle \: = \pi \: {r}^{2}$

$\sf : \implies \: area \: of \: shaded \: region \: = area \: of \: square \: - \: area \: of \: circle \\ \\ \sf : \implies \: {7}^{2} - \pi \: \times {(3.5)}^{2} \\ \\ \sf : \implies \: 49 \: - \: \frac{22}{7} \times \frac{35}{10} \times \frac{35}{10} \\ \\ \sf : \implies \: 49 \: - \: \frac{77}{2} \\ \\ \sf : \implies \: \frac{49(2) - 77}{2} \\ \\ \sf : \implies \: \frac{98 - 77}{2} = \frac{21}{2} = 10.5$

$\sf : \implies \: \orange{ { \underline{area \: of \: shaded \: region \: = 10.5 \: cm^2}}}$