Question

circle has how many sides
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Answer 1

Answer:

2 sides

hope it is useful

Answer 2

Answer:

A circle can be thought as the limit of a sequence of regular polygons whose number of sides increases.

If we inscribe a square in a circle, then it is not a great approximation to the circle. If we double the number of sides, we get an inscribed octagon. This more closely approximates the circle. Double again and we get a 16-gon, which is closer to a circle again. A 32-gon is closer than a 16-gon and so on.

If we define the perimeter of a regular 2n -gon inscribed in a circle with unit radius (where n is a Natural Number ) as Pn and its number of sides as Sn , then we have:

limn→∞Pn=2π(1)

and

limn→∞Sn=∞(2)

Then (1) tells us that, in the limit, the polygons become a circle. (2) tells us that, in the limit, the number of sides is infinite. The latter suggests that the number of sides of a circle is infinite.

However if we introduce a third concept, Ln to denote the length of one of the sides of our 2n -gon, then we also have:

limn→∞Ln=0

So each of the sides of our limiting polygon consists of a line segment (if we can call it that) of length zero. It is unclear - to say the least - that we can claim that these are really sides. Given this, the number of sides would be zero.

There are things to be said about both answers, but if we define a side as something with a non-zero length, then stating that a circle has no sides feels the more accurate statement.

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