RedTailHawk on Nostr: This sounds like how I teach trigonometry students how to deal with radians. I tell ...

This sounds like how I teach trigonometry students how to deal with radians.
I tell them to operate in terms of tau, not pi, then, at the end, convert back to pi if their teacher insists on providing an answer in units of pi.

Tau simplifies things for radians because 1 full revolution is 1 full tau. There is no factor of 2 or 1/2 to deal with...it's just 1:1.

Tau = 2 x Pi

An interesting aspect of Tau is how using it in the circle area formula changes the formula to resemble a pattern found in multiple other places, namely:

y = (1/2) x A x B^2

In this case it's:

Area = (1/2) x Tau x (Radius)^2

Spring energy and kinetic energy formulae both have this pattern. I'm sure there are others.