CAT Quant Practice Problems

Question: 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 ofthe square.

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


  1. \(\frac{\pi }{4}\)
  2. \(\frac{{\left( {\pi - 1} \right)}}{2}\)
  3. \(\frac{{\left( {\pi - 1} \right)}}{4}\)
  4. \(\frac{{\left( {\pi - 2} \right)}}{2}\)
  5. \(\frac{{\left( {\pi - 2} \right)}}{4}\)

Correct Option:4

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