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I want to calculate the no. of square parts of any size in a circle of 12-inch dia.Is there any specific formula to do that?

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Are you assuming an origin at the centre of the circle, and looking for the number of complete squares within the circle? Are you looking at a 1-inch grid and working out the total number of 1-inch, 2-inch (etc) squares? Or are you looking at a 1-inch grid, a 2-inch grid, a 0.5-inch grid and looking at the number of 1-inch, 2-inch, 0.5-inch squares (respectively)? You need to clarify the question which is currently ambiguous and unclear. –  Mark Bennet Sep 20 '12 at 16:49
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As @Mark indicated, you'll have to constrain your problem. If you allow the squares to be arbitrarily small, you can get the number to be arbitrarily large. –  Rick Decker Sep 20 '12 at 18:45
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