Pi square is nearly 10
This article explores the mathematical coincidence that pi squared is approximately equal to 10 and its relationship to the Basel problem. It provides a brief derivation using the Riemann zeta function to explain why this approximation holds true.
Why it matters
It offers an accessible look at mathematical constants and series, demonstrating how theoretical math connects to physical approximations.
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 \(\pi\) .
The content is purely mathematical and educational.
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