For another data point, the next regular convergent of the rational fraction expansion of pi is 102573/32650 which has an error of 2.2x10^-8. There are many other ratios between 355/113 and the above one which will yield small ratios and better accuracy if you want the take the time to find them.
marion moon ------ Original Message ------ Received: Wed, 12 Oct 2005 06:24:25 AM PDT From: Pierre Abbat <[EMAIL PROTECTED]> To: "U.S. Metric Association" <[email protected]> Subject: [USMA:34819] Re: common fractions fail for some numbers On Wednesday 12 October 2005 03:09, Brij Bhushan Vij wrote: > Pierre Abbat & list: > The Pi question has been discussed several times over. If Pi is the ratio > between circumference to the diametre of a circle, the BEST and only > fractional value for Pi in the form *a/b ratio* happen to be simple: > 100000/31831, which also defines the angle radian at 57.2958 degree. Also, > visit: http://www.the-light.com/cal/bbv_pi-radian.jpg 100000/31831 is off by 1.1e-6. 355/113 is off by only 0.3e-6. phma
