question_answer

   ABCD is a squares, inside of it four circles with radius 1 cm. and touching each other are drawn. What is the area of the shaded region?

A)  \[(2\pi -3)c{{m}^{2}}\]                       

B)  \[(4-\pi )c{{m}^{2}}\]

C)  \[(16-4\pi )c{{m}^{2}}\]          

D)  None of these

Correct Answer: B

Solution :

(b): Area of the shaded region = (Area of squares \[PQRS-4\times \] area of each quadrant of circles) \[=\left[ {{(2)}^{2}}-4\times \frac{1}{4}\pi \times {{(1)}^{2}} \right]=(4-\pi )\,c{{m}^{2}}\] Mind of a mathematician Do lateral thinking \[\to \] Compare the question with Q.15.