>>13020818But guess what, this pretentious brainlet post pissed me a little bit off, so I decided that I now explain it to you. Ignore if you dc. First off, we even have to define what we mean be a “side”. Do we mean a straight line segment or do we mean any one continuous one dimension object (whether straight or otherwise)?
If we define a side as a straight line, then a circle has no sides because it has no straight lines. To see this, let A and B be any two different points on a circle. Let AB be the straight line segment connecting A and B. Then the only points on AB which are also points on the circle are A and B themselves. If any part of the circle was a straight line segment, then it would be possible to pick any two different points C and D on the straight line segment and every point on the straight line segment connecting C and D would also be a point on the circle. Therefore no part of a circle is a straight line segment. In other words, a circle has zero straight line segments.
If we define a side as any continuous one dimensional object, then we can say that a circle has one side, because we can define the entire circle as a side. On the other hand, we can arbitrarily divide the circle up into arcs and say each such arc is a side. We might, for instance, day that the top half of a circle is one side, the bottom right quarter is a second side, and the bottom left corner is the third side.
In short, depending on how we define a side, we can make the number of sides of a circle equal to any non-negative integer we like.
However, a polygon is, by definition, a two dimensional shape made up of a finite number of straight line segments. So the fact that a circle has no straight line segments means that it is not a polygon.
What can be justifiably said is this:
Let P[n], where n is an integer greater than or equal to 2, be a regular n-sided polygon with a perimeter of j. Then the limit, as n tends to infinity, of P[n] is a circle of circumference j.
