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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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Brian Q. Hutchings

Posts: 6,427
Registered: 12/6/04
Re: the surfer's value of the ratio of the diameter to the area of sphere
Posted: May 8, 2013 11:18 AM
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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.

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