Pi square is nearly 10

In the US and countries with a similar date format, today is the \(\tau\) day (\(\tau = 2 \pi\)). I still think that \(\tau r\) and \(\frac{\tau r^2}{2}\) are better formulas than \(2\pi r\) and \(\pi r^2\), since they match the \(mv\) and \(\frac{mv^2}{2}\) ones (and many other reasons). But that ship has sailed, so \(\tau\) is relegating to just being the double of \(\pi\).

Well, addition is trivial, but did you know that \(\pi^2 \approx 10\) and \(\pi^2 \approx g\) (where \(g\) is the acceleration due to gravity at sea level on Earth)? How did we get to these coincidences?

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