Posted by MarkB_MI on December 23, 2007 at 13:49:09 from (216.234.126.237):
In Reply to: Re: OT - Pipe volume posted by Gun guru on December 23, 2007 at 11:04:54:
Gun guru,
Why bother using .7854? All you're doing is hiding the "pi x r squared" formula we all learned in grammar school. Look:
Area = pi * radius^2
and
radius = diameter / 2
So:
Area = pi * (diameter / 2) ^2 = pi * (diameter^2) / 4 = (pi/4) * diameter^2 = (3.1415 / 4) * diameter^2 = .7854 * diameter^2
So you haven't gained anything by using .7854 instead of pi. Other than now you have to remember two numbers (pi for diameter, .7854 for area) instead of one. Unless, of course, you just remember that you need to divide pi by 4 to get this magic number. But I'd just as soon divide the diameter by two as divide pi by four, because the diameter is usually a round number, while pi is not.
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