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Q&A

Comments on How do mathematicians measure shape perimeters?

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How do mathematicians measure shape perimeters?

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When I create a circle on a computerized plane with a graphic editing program (such as Window's Paint), I can see a group of dots circling around an imagined central point.

if the perimeter is comprised of just one layer of dots we could always add another layer of dots on top of that first layer, and then a third one on top of the second layer, and so forth.
In CSS code it might be: border: 1px solid black and then 2px and then 3px.

In classical mathematics, how do mathematicians set or measure the perimeters (border thickness) of circles and other shapes that they draw on paper, or in a more daily life manner, if one has a pipe with the diameter of 3cm, how could that person measure its perimeter (circumference)?

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2 comment threads

"Thickness," not length of perimeter (4 comments)
Using formulae? (5 comments)
"Thickness," not length of perimeter
JRN‭ wrote over 3 years ago

Based on your comments, it seems that you are asking about the "thickness" of the perimeter, and not its length. Is that correct? Are you basically asking how "thick" a line is?

deleted user wrote over 3 years ago

Yes, when creating the post I assumed that "perimeter" is actually a parallel term to "thickness". I try to understand how mathematicians measure the thickness of a circle --- if in CSS it is done with pixels, how do mathematicians do it in general?

JRN‭ wrote over 3 years ago

A line has length but it has no thickness. When you say "measure a perimeter," that means measuring its length. You don't need to measure its "thickness" because the "thickness" of a line is zero. I suggest that you edit your question to say that you are interested in the "thickness" because the two answers you've gotten so far are about the length.

deleted user wrote over 3 years ago

Thank you a lot, JRN‭; I believe I got the point and edited.