In the figure above, the smaller circle is inscribed in the square

In the figure above, the smaller circle is inscribed in the square and the square is inscribed in the larger circle. If the length of each side of the square is s, what is the ratio of the area of the larger circle to the area of the smaller circle?


A. \(2\sqrt{2}:1\)

B. \(2:1\)

C. \(\sqrt{2}:1\)

D. \(2s:1\)

E. \(s\sqrt{2}:1\)