Quote:
Originally Posted by iCurtis
Your math is right, but a quarter inch is not a half inch.  ...
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Quote:
Originally Posted by lukevanoort
Indeed, a quarter inch is not a half inch, but the equation for the area of a circle is pi*radius^2, and drill bits are measured in terms of diameter. So, a half inch bit has a quarter inch radius, and thus the area of the hole is pi*.25^2.
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Most of us learn the pi-R-squared formula for circular area in high school.
Engineers prefer the formula Area = (pi/4) * diameter^2, because measurement of a circle's diameter is generally more accurate than measurement of its radius. The diameter measurement only requires finding two (diametrically) opposite points on the circle, while a radius measurement requires finding the circle's center.
The pi-R-squared formula always reminds me of the old joke about the college kid who comes back to the farm and is asked to say something smart. When he replies "pi-R-squared", his father the farmer says, "son, you're still as dumb as the day you left here. Everyone knows that pie are round -- cornbread are squared."
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I believe in intuition and inspiration. Imagination is more important than knowledge. For knowledge is limited, whereas imagination embraces the entire world, stimulating progress, giving birth to evolution. It is, strictly speaking, a real factor in scientific research.
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