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Author Topic: How many sides has a circle got?  (Read 3403 times)

Offline DoctorBeaver

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How many sides has a circle got?
« on: 17/02/2006 15:10:20 »
[?]


 

Offline harryneild

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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

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Offline neilep

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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."


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Offline rosy

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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

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Re: How many sides has a circle got?
« Reply #4 on: 17/02/2006 22:37:12 »
Two.
Inside and Outside

Subduction causes orogeny.
 

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Re: How many sides has a circle got?
« Reply #4 on: 17/02/2006 22:37:12 »

 

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