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Posted by blueman on November 5, 2009, 1:55 am
dkcombs@panix.com (David Combs) writes:
>>> wrote:
>>>>How do I figure the area of a pool from the perimeter? It is a kidney
>>>>shaped (exaggerated) pool.
>>>>Steve
>>> 0.45 x (A+B) x length x average depth x 7.5 = volume (in gallons) of
>>> kidney or irregular-shaped pool
>>> http://www.1paramount.com/poolcare/formulas.php
>>> Google is your friend
>>The OP asked for AREA not volume in gallons.
>>Also your formula at best is some vague type of approximation since
>>there is no standard kidney-shape and certainly irregular-shaped is
>>even less well-defined. Although since the site doesn't define what A
>>and B are, the formula will by definition be true for some values of A
>>and B ;)
> Learned this once (and yes, it has a name that I don't remember):
> For symmetrical even if then leaned over -- something like that,
> sphere, cone, etc:
> Volume = area of top + 4 * area of middle (cross section, I guess) +
> area of bottom, all divided by 6.
Your formula is certainly in general FALSE since volume is
3-dimensional and grows to first order as the cube of some notion of
"radius" while your formula is just a weighted sum of 3
cross-sections.
Volume is volume.
Area is area.
Irregular shapes don't in general have nice formulas and require
numerical approximation/integration.
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>shaped (exaggerated) pool.
>Steve