Question

In the following figure, a circle is inscribed in square $A B C D$ and the square is circumscribed by a circle. If the radius of the smaller circle is $r cm$, then find the area of the shaded region (in $cm ^2$ ).

• A. $\left(\frac{\pi-2}{4}\right) r^2$
• B. $\left(\frac{3 \pi-4}{2}\right) r^2$
• C. $\left(\frac{\pi+2}{4}\right) r^2$
• D. $\left(\frac{\pi-2}{2}\right) r^2$

Answer 1

Answer: (D)

Diagonals of the square meet at the centre of the circles