A square is inscribed in a circle, as shown in the figure. If the area of the circle is 16 \pi \mathrm{cm}^{2} and the area of the square is S \mathrm{~cm}^{2}, what is the value of \mathrm{S} ?
A square is inscribed in a circle, as shown in the figure. If the area of the circle is 16 \pi \mathrm{cm}^{2} and the area of the square is S \mathrm{~cm}^{2}, what is the value of \mathrm{S} ?