# What is the order of magnitude of a football field?

One order of magnitude is roughly one power of $10$ in ratio.
For example, the length of a football field is the same order of magnitude as its width, since the ratio of the sizes is less than $10$.
The diameter of a standard (soccer) football is about $9$ inches and the length of a standard football pitch is $100$ yards, i.e. $3600$ inches. So a soccer pitch is $\frac{3600}{9} = 400$ times the diameter of the ball. We could say that the length of the pitch is $2$ orders of magnitude larger than the diameter of the ball, being greater than ${10}^{2}$ times the size.