Reduced area of square to circle

gamma

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Sep 18, 2014
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There is a method to calculate area of a circle by inscribing the circle into a square and filling the edges outside the circle with squares. The area of the circle will be area of square minus area of all the squares that can be inscribed in the little area in the edges outside the circle. This will give a convergent series which sum up to pi*r^2 or pi if length of the square is considered to be . Can anyone provide the mathematical model of this method?




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