question_answer

From a square sheet of paper a circle of maximum possible size is cut. The area of the remaining portion is

A)  Equal to \[\frac{1}{4}\] the area of the circle.

B)  Greater than \[\frac{1}{4}\] the area of the circle

C)  Less than \[\frac{1}{4}\] the area of the circle

D)  Equal to \[\frac{1}{4}\] the area of the square.

Correct Answer: C

Solution :

     Remaining area \[={{l}^{2}}-\frac{\pi {{l}^{2}}}{4}=\frac{{{l}^{2}}(4-\pi )}{4}<\frac{{{l}^{2}}}{4}\]