You CANNOT arbitrarily declare the value of pi to be 100000/31831 no
matter how convenient you might think it would be. The mathematics just
doesn't work like that. It is like saying the square root of 2 is
exactly 1.4.
On the same line, a radian is the angle subtended at the centre of a
circle by an arc equal to the radius. You can't redefine that to suit
your purposes either, any more than you can arbitrarily say that a right
angle is a fifth of a full circle.
There is no controversy to discuss.
Brij Bhushan Vij wrote:
Phillip Hall & friends:
I can't quite work this out. If we take the Earth radius as 6371 km,
and assume a perfect sphere, >I get 40030.1735920411 km (rounded to
10 dp) when I multiply 6371 by 2 * pi (using pi = >3.1415926535 ...
from windows calculator)
This small difference is due to the Pi value you use from computer;
and I use MY rationalised value for Pi of ratio: 100000/31831 that
FIXES 'Radian at 57*.2958 =57*17'44".88.
Thus, Earth circumference is 2*Pi*radius =2x100000/31831x6371
=40030.1592786906 (to 10th decimal) Km. I choose THIS value for Pi
since NO OTHER value for Pi defines *either Pi or Radian - eaxactly*.
This is a deviation of 0.01431335051535 (or 14.3133505 cm).
I have discussed Pi controversy at length, and my views are stored in
the archieves. The point is its TRUNCATION that evaluate ANY two
values differently.
Regards,
Brij Bhushan Vij
(Monday, Kali 5106-W41-01)/D-025 (Wednesday, 2006 January
25H15:14(decimal) ET
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