Ratio of Shapes

If the side of a square is the diameter of a circle, what is the ratio of the circle’s area to the square’s area?

S=2r

\frac{Circle's Area}{square's Area} = \frac{\pi \cdot r^2}{s^2} = \frac{\pi \cdot r^2}{2 \cdot r}^2 = \frac{\pi \cdot r^2}{4 \cdot r^2}

\frac{pi}{4} pi=3.15