Find the ratio of the area of the circle circumscribed about a given square to the area of the circle inscribed in that square.

We want the ratio

*r*_{2}^{2}:*r*_{1}^{2}.We know

*r*_{2}= r_{1}√2.(r_{1}√2)^{2} |
= | 2r_{1}^{2} |
= | 2 | . |

r_{1}^{2} |
r_{1}^{2} |
1 |