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CAT 2006 | Question: 63

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Below question is on the basis of information given below:

A punching machine is used to punch a circular hole of diameter $2$ units from a square sheet of aluminium of width $2$ units, as shown below. The hole is punched such that 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

  1. $(\pi + 2) / 8$
  2. $(6- \pi) /8$
  3. $(4- \pi) /4$
  4. $(\pi – 2) /4$
  5. $(14-3 \pi) /6$
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