Originally Posted by StapledShut

I don't remember many of the exact situations, but there were a couple of times that I had to use a combination of it and basic geometry (pythagorean theorem, circumference of a circle, things like that) to derive measurements at my old job. I had equations scrawled out on scrap paper on my desk for later reference.

The last one before I left involved figuring out the radius on a bunch of corner rounder blades without labels. It was something I had been meaning to do, and figured I'd better get it done before passing the department on to the next person. Each one had a 1/4 circle blade, so I measured straight across from one point to the other. This would be the hypotenuse of an isosceles right triangle, with the legs being the radius of the circle, were the arc of the blade to continue. (It makes more sense drawn out.) So, calling that hypotenuse "h" I ended up with 2(r^2) = h^2.