Today I watched a Vihart video on how the proof that "pi is 4" is false. All she does in the video is show that pi isn't four for the diameters of perfect, and thereby (I'm assuming) entirely theoretical circles.
From this, you can gather that it's perfectly possible for imperfect circumferences to have diameters of twice 4r instead of twice pir. This is seen when measuring objects in motion, as objects travelling around a circumference take as much time to travel that distance as objects travelling straight take to travel 4 of the measure, with the circumference being of size 2pir. milesmathis.com/pi2.html Thoughts? Pic is unrelated.
Though I might be a little biased as OP. C'mon, lads, this will show us the way to the next frontier. It impacts orbital mechanics, and anything which involves real world circumferences.
