radians

Being able to declare that a variable is in radians, for example.

If you'd been trained in radians when learning how to fly, everything would be fine.

And yes, every time you've done math with radians, that problem has haunted you.

The source has awareness of miles, kilometers, radians, and degrees as units of measure.

Tau creates a simpler unit-circle, because Tau uses the radius, and we're talking about radians.

With tau, instead of pi, I now have a more intuitive sense of how to think in radians when doing trigonometry.

Did you make sure you were using radians and not degrees?

Even if the units are given as SI, there are always interface issues -- which coordinate system to use, where the origin is, does z point up or down, degrees or radians.

Much like traditional getters and setters, lenses can offer more functionality though - for instance, an angle can be got and set in radians or degrees.

Every time I've done math with radians, the fact that Pi is only half way around has added a subtle but noticeable disconnect.

If I use Calculator (or indeed PCalc) in radians mode, sin(PI) = 0.

Angles are simple if you just use radians.

Having i as a base means "we plan on rotating 90 degrees" which actually means pi/2 radians.

I didn't really understand why tau was "better" than pi until I understood the relationship to radians.

That's because we decided to use radians instead of "diameter-ans", to keep with the above definition.

I meant as in quite literally being able to use something of type Radians in something that expects Degrees and it "just works", and vice versa.