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Rekha drew a circle of radius $2\;\text{cm}$ on a graph paper of grid $1\;\text{cm}\times1\;\text{cm}$. She then calculated the area of the circle by adding up only the number of full unit-squares that fell within the perimeter of the circle. If the value that Rekha obtained was $d\;\text{sq cm}$. less than the correct value, 

In the above question what is the minimum possible value of $d?$

  1. $4.56$
  2. $5.56$
  3. $6.56$
  4. $3.56$
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