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`.

Explanation

`2pi R^2,4R^2`