At 1:04:47 in session 4, Robert uses a circle with circumference of 360 to obtain various constants.
When follow his calculations I’m not able to figure out how he arrives at the constants.
Circumference = 360
Diameter = 360/Pi = 114.59, so far so good
r = 57.29, so far so good
r/2 = 28.6475 which he writes as “r/2 = 8 .64” or (c+1)x10. Google gives me c = 186282 miles/second. I can see how Robert gets from 28.6475 to 2.86475 by moving one decimal and then subtracting 1. That gets me to 1.86475, compared to c = 1.8628, which I suppose is close enough if we say that what matters is 1.86.
r/4 = 14.3225. Here I get lost. Robert writes “r/4 = 4 .3”. Why the odd gap before the . in his notation?
He says that equals Pi and his notation is hard to read but looks like πx0. I think there is a formatting error and there is a 1 on top of the 0, so it’s not πx0 but πx10. How does he get the “4 .3”? And which value of Pi is he using?
How can my result of 14.3225 fit πx10?
r/8 = 7.16125. Sigh of relief. I can see that is Euler number minus 2 = 5.16. Again, the notation looks like (ε-2)x0 but is (ε-2)x10.
r/16 = 3.580625. There again we match up and γ+3 makes sense.
Finally, he says “And of course, it’s diameter is Pi. Because 360 divided by Pi is 114.” I don’t follow. How “is” 114 Pi? Does Robert mean 114 “points to” Pi because it is a result of a calculation in which Pi is involved?
My math understanding is very basic, I apologize if I am asking very foundational questions.
On the circle with circumference 162, r is 25.75 and Robert says that’s γx10. But γ is 0.5772. γx10 is 5.7721, not 25.75. What am I missing?