## Favorite Pi Approximations

What's your favorite \(\pi\) approximation?

Some of my favorite approximations of \(\pi\) come from Ramanujan-Sato series. These are mathematical series that generalize from a remarkable formula for \(\pi\) given by Srinivasa Ramanujan, an Indian mathematician:

This completely novel formula opened up new branches of mathematics and provided a whole new class of \(\pi\) approximations (the Ramanujan-Sato series) and approximations that are extremely accurate, making them very useful for computer applications. (Each term of …