On Wed, 25 Jul 2012 13:07:03 +1000, Ben Finney wrote: > Maarten <maarten.sn...@knmi.nl> writes: > >> You just missed it: >> 22/7 > > Which is appropriate, since 22/7 misses π by a wide margin. (355/113 is > my favourite approximation to π, and is far more accurate.)
Approximation? Pffft. I use the exact value: π = 16*arctan(1/5) - 4*arctan(1/239) For those lacking ambition, another approximation is: π ≈ 9801 ÷ (2206*√2) Other interesting approximations are: π ≈ 9/5 + √(9/5) π ≈ √√(2143/22) See more here: http://mathworld.wolfram.com/PiFormulas.html http://mathworld.wolfram.com/PiApproximations.html > −1 on associating 22/7 as anything to do with π. I believe that 22/7 is the closest approximation to π with a denominator under 100. It is the second convergent of the continued fraction: π = [3; 7, 15, 1, 292, 1, 1, 1, 2, 1, 3, 1, 14, 2, 1, 1, 2, 2, 2, 2, ...] which means that, like it or not, 22/7 *is* associated with π. -- Steven -- http://mail.python.org/mailman/listinfo/python-list
