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Q&A How do mathematicians measure shape perimeters?

2 answers  ·  posted 3y ago by deleted user  ·  edited 3y ago by deleted user

Question geometry
#4: Post edited by (deleted user) · 2021-08-13T00:58:39Z (about 3 years ago)
  • 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.<br>
  • 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?
  • 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.<br>
  • 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)?
#3: Post edited by (deleted user) · 2021-08-13T00:55:05Z (about 3 years ago)
  • 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 (to whom I'll call "points") circling around an imagined central point.
  • Dots is a nice way to measure the perimeter of the circle, because if the perimeter is comprised of just one layer of dots (no matter how many dots are there), 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.
  • But outside of computers, in classical mathematics, how do mathematicians measure the perimeters (borders) of circles, or of any other shape for that matter?
  • 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.<br>
  • 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?
#2: Post edited by (deleted user) · 2021-08-11T05:50:44Z (about 3 years ago)
  • 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/pixels (to whom I'll call "points") circling around an imagined central point.
  • Dots is a nice way to measure the perimeter of the circle, because if the perimeter is comprised of just one layer of dots (no matter how many dots are there), 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.
  • But outside of computers, in classical mathematics, how do mathematicians measure the perimeters of circles (or of any other shape for that matter)? I mean, if it's not with dots, with what it is this typically done?
  • 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 (to whom I'll call "points") circling around an imagined central point.
  • Dots is a nice way to measure the perimeter of the circle, because if the perimeter is comprised of just one layer of dots (no matter how many dots are there), 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.
  • But outside of computers, in classical mathematics, how do mathematicians measure the perimeters (borders) of circles, or of any other shape for that matter?
#1: Initial revision by (deleted user) · 2021-08-10T22:40:47Z (about 3 years ago)
How do mathematicians measure shape perimeters?
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/pixels (to whom I'll call "points") circling around an imagined central point.

Dots is a nice way to measure the perimeter of the circle, because if the perimeter is comprised of just one layer of dots (no matter how many dots are there), 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.

But outside of computers, in classical mathematics, how do mathematicians measure the perimeters of circles (or of any other shape for that matter)? I mean, if it's not with dots, with what it is this typically done?