How many sides has a circle got?

  • 4 Replies
  • 3443 Views

0 Members and 1 Guest are viewing this topic.

*

Offline DoctorBeaver

  • Naked Science Forum GOD!
  • *******
  • 12656
  • A stitch in time would have confused Einstein.
    • View Profile
How many sides has a circle got?
« on: 17/02/2006 15:10:20 »
[?]
Fledgling science site at http://www.sciencefile.org/SF/content/view/54/98/ needs members and original articles. If you can help, please join.

*

Offline harryneild

  • Full Member
  • ***
  • 88
    • View Profile
Re: How many sides has a circle got?
« Reply #1 on: 17/02/2006 15:52:35 »
hmm id say 1 but not totally sure

"Knowledge has to be improved, challenged, and increased constantly, or it vanishes." Peter F. Drucker
"Knowledge has to be improved, challenged, and increased constantly, or it vanishes." Peter F. Drucker

*

Offline neilep

  • Withdrawnmist
  • Naked Science Forum GOD!
  • *******
  • 20602
    • View Profile
Re: How many sides has a circle got?
« Reply #2 on: 17/02/2006 15:56:36 »
I'm sorry...you have to be a member here to post...HEY !!..It's Eth...YAYYYY !!


Here's something I have again blatantly copied and pasted for your circle sided enjoyment:



There are two sources of ambiguity here.

The word CIRCLE sometimes refers to a circular disk (because it is common to talk about "the area of a circle"),
but often the word refers only to the boundary of the disk (namely, the points that are equally distant from the
point at the center of the figure).





The meaning of the word SIDE depends on its context. A polygon in the plane has, by definition,  vertices and
each pair of consecutive vertices are joined by a side. It is clear that a polygon with n vertices has n sides. In
general, the word side depends on the dimension of the figure -- a side is always part of the boundary.


So what is the side of a circle? If you think of the circle as a disk then it it has an up-side and a down-side.
If you think of it as a curve, then it has an inside and an outside. If you think of it as the limit of an n-sided
regular polygon, then one can justify the answer that the circle has infinitely many infinitesimal sides. Our
conclusion:

The question, "How many sides does a circle have?", is too ambiguous to have a definite answer.
Perhaps the appropriate response is "there is no natural way of saying what the side of a circle is."


Men are the same as women.... just inside out !!
Men are the same as women, just inside out !

*

Offline rosy

  • Neilep Level Member
  • ******
  • 1018
  • Chemistry
    • View Profile
Re: How many sides has a circle got?
« Reply #3 on: 17/02/2006 18:49:24 »
I believe the conventional definition in geometry is that the circle is the limit for an n-sided polyhedron as n tends to infinity.

*

Offline Bass

  • Neilep Level Member
  • ******
  • 1340
    • View Profile
Re: How many sides has a circle got?
« Reply #4 on: 17/02/2006 22:37:12 »
Two.
Inside and Outside

Subduction causes orogeny.
Old enough to have a grandson
Slow enough to study rocks
Thirsty enough to find a pub