I have had the oppertunity of examining most values for Pi used by man since (I could trace) and believe that *without defining Pi or 'radian'* the sign of equation for circle (=2 Pi radians) is incomplete. The data, I worked is placed at:
http://the-light.com/cal/bbv_pi-radian.jpg
It may be observed that NO VALUE for Pi fits the above criteria, since all suffer from its *truncation limit* during its evaluation. My suggestion to use Pi=100000/31831 (exactly) had a run in computer (1973) and in 'decimal notation' repeat all by itself after 5244th decimal, over and over again. This fixes the value for Pi, and also fixes the value for 'Radian = 57.2958 degree'; to make the definition meaningful.
Regards,
Brij B. Vij TIME: to think Metric!<[EMAIL PROTECTED]> <And Calendar too>
From: "Bill Potts" <[EMAIL PROTECTED]>
Reply-To: [EMAIL PROTECTED]
To: "U.S. Metric Association" <[EMAIL PROTECTED]>
Subject: [USMA:24463] Re: Fractions
Date: Tue, 14 Jan 2003 18:49:55 -0800
Madan wrote:
>There are some areas in maths where fractions are
>useful
>for example
>* its better to express pi as 22/7 instead of 3.14,
>since 22/7 is more precise.
Neither is precise. 22/7 is 3.1429 (or, to be really precise, 3.142857, with
the last 6 digits recurring), whereas pi is 3.1416. So, yes, 22/7 is
marginally closer than 3.14. One more decimal place (3.142) and you're
certainly close enough for government work.
>* volume of pyramid = 1/3 * base-area * height, if we
>use 0.33, then we may not get the correct volume.
That shouldn't, however, be expressed as a fraction. The better formula is
(base-area*height)/3. In that case, we have an integer divisor, rather than
a fractional multiplier.
Bill Potts, CMS
Roseville, CA
http://metric1.org [SI Navigator]
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