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Posted by blueman on October 7, 2009, 5:31 pm
> SteveB wrote:
>> How do I figure the area of a pool from the perimeter? It is a
>> kidney shaped (exaggerated) pool.
> Alone, you don't.
> _MINIMUM_ area is that of circle of same circumference, how much
> greater depends on the eccentricity.
MAXIMUM not minimum is bounded by a circle
> Example of magnitude difference depending on shape, multiplier is pi
> for a circle, 4 for a square of the same "radius" so square would
> bound 4/pi --> ~33% greater area.
NO.
Circle has area: pi * r^2
and perimeter 2*pi*r so multiplier is r/2
And a square with equivalent perimeter has area: pi^2 * r^2/4
So square is pi/4 as large - or about 22% SMALLER than a circle with
equivalent perimeter
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> shaped (exaggerated) pool.