Question

a circle of radius 7 cm is inscribed in a square, find the area of the region in the square excluding the circle.

Answer 1

Dear student
$$\begin{gathered} \mathrm{Required}\mathrm{area}=\mathrm{Area}\mathrm{of}\mathrm{Square}-\mathrm{Area}\mathrm{of}\mathrm{circle} \\ \mathrm{where}, \\ \mathrm{Area}\mathrm{of}\mathrm{square}={\mathrm{side}}^2={14}^2=196{\mathrm{cm}}^2\left(\because \mathrm{side}\mathrm{of}\mathrm{square}=14\mathrm{cm}\right) \\ \mathrm{Area}\mathrm{of}\mathrm{circle}={\mathrm{\pi r}}^2=\mathrm{\pi }\times 7^2=49\mathrm{\pi }=49\times \frac{22}{7}=154{\mathrm{cm}}^2 \\ \mathrm{So},\mathrm{Required}\mathrm{area}=196-154=42{\mathrm{cm}}^2 \end{gathered}$$
Regards