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Which polygon has infinite sides

Updated: 4/28/2022
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Tiputk

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11y ago

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If a point moves in plane such that its distance remains constant from a fixed point then the figure obtained is called circle.

Or we can define circle as the collection of points which are equidistant from fixed points. However there is another way to describe circle: It is a polygon made up of infinite sides.

But how can we prove that?

As we all know that earth is a big sphere but to us, humans, it is like a plane surface. The reason behind this is that are considering very very small part of the surface. So if we consider infinitesimal part then it can be considered as made up of infinite planes.

Similarly a circle can be defined as a polygon of infinite sides.

* * * * *

No, it cannot be so defined. A polygon, by definition has straight sides. As the number of sides of a polygon approach infinity (under certain conditions), the shape approaches a circle: in the limit but it can never actually be a circle.

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Effectively, the answer is that a regular polygon could have an infinite number of sides. However, when the number of sides reaches a thousand or so there is very little difference to the naked eye between such a polygon and a circle. For information : Some of the early calculations for pi were based on the very small difference between a polygon with a very large number of sides and a circle.


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Does a polygon have four sides?

Answer: Yes it can have four sides, but as the explanation below shows, it can have many other numbers of sides as well. Explanation: A polygon can have as many sides as needed. We give specific names to polygons dependent upon the number of sides that it has: triangle: A polygon made with three sides. quadrilateral: A polygon made with four sides. pentagon: A polygon made with five sides. hexagon: A polygon made with six sides. heptagon: A polygon made with seven sides. octagon: A polygon made with eight sides . In fact, if we have n sides, we can call that polygon an n-gon. So in short, yes a polygon can have four sides, so all 4 sided shapes are polygons, however, not all polygons have four sides.

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How can a circle be a polygon?

A circle can be a polygon. Sometimes a circle can be a polygon that has infinite number of sides.


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A circle is NOT a polygon, because a polygon is composed of straight line segments, and a polygon DOES NOT have rounded sides. BUT! I read this on the internet, that SOMETIMES a circle is considered a polygon with infinite number of sides.


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