Find the ratio of the area of the circle circumscribing a square to the area of the circle inscribed in the square.

If a wire is bent into the shape of a square, then the area of the square is $81 {\mathrm{cm}}^2$. When wire is bent into a semi-circular shape, then the area of the semi-circle will be

(Use $\mathrm{\pi }=\frac{22}{7}$)