question_answer

In the following figure, PQRS is a square, which is circumscribed by a circle and also a circle is inscribed in the square. If radius of the smaller circle is r, then the area of the shaded region (in cm2) is ___

A) \[\left( \frac{\pi -2}{2} \right){{r}^{2}}\]       

B) \[\left( \frac{\pi +2}{2} \right){{r}^{2}}\]                                  

C) \[\left( \frac{2\pi -3}{2} \right){{r}^{2}}\]                      

D) \[\left( \frac{3\pi -2}{2} \right){{r}^{2}}\]          

E) None of these