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Topic: Calculate circumreference and area of circle without Pi is easy
Replies: 12   Last Post: May 9, 2013 12:49 AM

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JT

Posts: 1,170
Registered: 4/7/12
Re: the surfer's value of the ratio of the diameter to the area of sphere
Posted: May 8, 2013 6:31 PM
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On 9 Maj, 00:27, JT <jonas.thornv...@gmail.com> wrote:
> On 8 Maj, 17:18, 1treePetrifiedForestLane <Space...@hotmail.com>
> wrote:
>
>
>
>
>
>
>
>
>

> > the intersting thing is that, dimensionally,
> > the units of area/diameter are different
> > from circumference/diameter; the latter is dimensionless.

>
> > > pi is used "symbolically;"
> > > the most important thing is that the area
> > > of the great circle is a fourth of the whole surface.

>
> > > if you investigate the edges-tangent-to-sphere duals
> > > of hexahedra & octahedra, you'll see where three fourths is.

>
> Yes indeed it is, therefore the relation should be described in
> fraction of a hexagon slice side (from center to vertice), because
> that is to become the radius as you scale it up to a circle.


And that fraction will not be a approximation, it will in fact be
exact relative the sought smoothness, you can of course save these
fractions as you refine the circle exactly as you save your
approximated Pi values.



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