Re: Pi * Radius squared
- From: "SH" <hall7476@xxxxxxxxxxxxx>
- Date: Thu, 2 Mar 2006 20:45:31 -0000
"Mark" <smido@xxxxxxxxxxxxxxx> wrote in message
news:R5CNf.2532$k6.46015@xxxxxxxxxxxxxxxxxxxxxxx
:
:
:
Both cross sectional area's will
be of identical value, because we have not removed
or added material.
Correct: We haven't added or removed the material, but we have (or rather,
you have) *deformed* the material, either squashing or stretching the
material to make a square from a circle. If the material was such that it
couldn't be deformed, then we couldn't 'squash' the circle into a square, so
there would be no point to this 'experiemnt'! QED.
:
Measured value = 133 mmNot really, the shape has been deformed, so the circumference of circle and
This is both the circumference and perimeter.
perimeter of square are not identical.
If we have two (2D) shapes with the same area and same perimeter, they must
be congruent.
If we have a square and circle with same area, then the circle circumference
is bigger than the square perimeter by a factor of sqrt(pi/4).
If we have a square and circle with the same perimeter, then the area of the
square is bigger than the area of circle by factor of pi/4.
The rest of the argument is just nonsense.
.
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