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.
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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.
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.
The fewer the number of sides that a polygon has, the higher the surface area to volume ratio. This increases until the polygon has an infinite number of sides, or has become a perfect sphere, when the ratio is the smallest.
"What polygon has 5 unequal sides?" An irregular pentagon is a polygon that has 5 unequal sides.
A polygon with 8 sides is an octagon.
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.
A circle can be a polygon. Sometimes a circle can be a polygon that has infinite number of sides.
A polygon is a shape with multiple sides. There are an infinite number of polygons, as the polygon is classified by the number of sides.
there is no real Biggest Polygon because the sides of a polygon can be infinitely long and the number of sides of a polygon can have an infinite amount.
There is no limit to the number of sides that a polygon can have. Mathematically, a circle is equivalent to a polygon with an infinite number of sides.
infinitagon
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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.
Only one polygon has a name starting with the letter "a". It is called the "Apeirogon", and it is a polygon with infinite sides.
Theoretically, there are an infinite number of sides a polygon could have. It will never turn into a circle.
An apeirogon is a polygon having an infinite number of sides and vertices.
A circle could be considered to have "no sides" in theory, however under this definition it is not a polygon. Also, a circle could be considered to have infinite sides. You could consider a point to be a no-sided polygon, but it's a stretch.
It can have as many sides as it wants, up to the infinite. A regular shaped polygon with 4 equal sides is asquare; 6 is hexagon; 8 is an octagon, and so forth. An infinite number of equal sides would make a circle.