Let $$A_{1}$$ be a square whose side is a metres. Circle $$C_{1}$$ circumscribes the square $$A_{1}$$ such that all its vertices are on $$C_{1}$$. Another square $$A_{2}$$ circumscribes $$C_{1}$$. Circle $$C_{2}$$ circumscribes $$A_{2}$$, and $$A_{3}$$ circumscribes $$C_{2}$$, and so on. If $$D_{N}$$ is the area between the square $$A_{N}$$ and the circle $$C_{N}$$, where N is a natural number, then the ratio of the sum of all $$D_{N}$$ to $$D_{1}$$ is: