question_answer

Directions: Basis of the information given below:

A punching machine is used to punch a circular hole of diameter two units from a square sheet of aluminium of width 2 units, as shown below. The hole is punched such that the circular hole touches one corner P of the square sheet and the diameter of the hole originating at P is in line with a diagonal of the square.

The proportion of the sheet area that remains after punching is:

A)  \[\frac{(\pi +2)}{8}\]                

B)  \[\frac{(6-\pi )}{8}\]

C)  \[\frac{(4-\pi )}{4}\]                  

D)  \[\frac{(\pi -2)}{4}\]

E)  None of these