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CAT 2006 | Question: 64

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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.

Find the area of the part of the circle (round punch)falling outside the square sheet

  1. $\pi /4$
  2. $(\pi – 1) /2$
  3. $(\pi – 1) /4$
  4. $(\pi – 2) /2$
  5. $(\pi – 2) /4$

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