Basically, the constant normally associated with circles is not the constant we should be using; rather, we should be using a constant . This makes sense—we should use the circumference of an entire unit circle rather than half of it. The linked article explains many ways that simplifies formulas.
Do I make the switch in my upcoming calculus class? I need to think about it.
I would appreciate people’s arguments in favor of continuing to use (aside from the fact that everyone knows and uses it already) in the comments.
Tags: Flouting Convention