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In a circle of radius R a square is insc...

In a circle of radius R a square is inscribed, then a circle is inscribed in the square, a new square in the circle and so on for n times. If the ratio of the limit of the sum of areas of all the circles to the limit of the sum of areas of all the squares as `n->oo` is k, then find the value of `(4k)/pi`.

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