Replace 180 with pi if you want radians, but since it proves pi, degrees is prettier.
Calculating Pi
I memorized it two more digits (3.141592654) because that was all that would show on an HP-15C calculator back in the days. I figured if it was good enough for HP, it was good enough for me.
If we cut out all of the unnecessary threads, what would be left?
We had a competition in middle school who could memorize the most digits of pi, and I was the only one who took it seriously. I memorized exactly 200 digits of pi (I went in 5s), but I dont know nearly as many now.
3.14159265358979323846
20 digits
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I just proved a limit that will calculate pi. I am sure it is not original, just wanted to know if anyone had seen it or knows another.
Pi equals the limit as x approaches infinity for (x)sin(180/x)cos(180/x)
Turns out that infinity times 0 times 1 equals pi. Who knew?