Pi Approximation Day (2023)

[Thomas Klemm]

There's a recent Mathologer video:




Or you can read about it here: The Infinite series of Pi and it’s approximation by Madhava

This gives the following approximation:

\(
\begin{align}
\pi &\approx 4 \cdot \left(1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \frac{1}{9} - \frac{1}{11} + \frac{37}{149 \cdot 6} \right) \\
&\approx 3.14159427448...
\end{align}
\)