How practical is this formula to calculate $\pi$?

125 Views Asked by At

So I recently stumbled upon a maths post which caught my eye. Here is the link

It talked about calculating pi by perceiving the circle as a $n$-sided regular polygon. Eventually ending up with the limit: $$π=\lim_{n\to\infty}2in(i^{-\frac{1}{n}}-1) $$ The most straight forward way to compute it would be using euler's formula to calculate it, but that would require knowing $π$ beforehand. Becuase this seems like it could have a lot of potential. Is there any other way to approach computing this?