How many sides does a circle has.

@DarkHeaven Then a square has 8 sides :)

@Mohana True.

@Mohana It’s more of a riddle. Much of this depends on how you are defining sides.

@DarkHeaven That's correct. What would be the correct definition of a side in this context ?

@Mohana Using the standard mathematic definition of a geometric side, this is the technical answer to the question.

A circle does not have any sides as it's made up of arcs, creating a continuous line that meets at two ends. All parts of a circle are of equal distance to the center of a circle.

A side must be comprised of a line and two angles, one on each side of the line. A square is made up of four sides: four lines and four angles. A hexagon is comprised of six sides and six angles. These types of shapes that are comprised of lines and angles are known as polygons. Polygons, however, cannot have arcs, which a circle is comprised of. Thus, a circle is not a polygon. Not only does a circle not have any sides, it does not have any angles.

@DarkHeaven Thank you for the detailed information. I appreciate it. Combining it with one great point shared by @OhKelsey , I will argue that a circle has infinite number of sides. And it has infinite number of angles too :)

@Mohana Only when you are creating angles within the circle. This is similar to the reply about adding a third dimension to a two dimensional object. The technical answer is a simple circle has zero sides, by definition of a side, unless you are adding something extra to the shape.

@DarkHeaven That would make it a cylinder.

@MethDozer Correct. The math changes considerably when adding in a third dimension. ✌️

@MethDozer Plus we have to know the exact vectors of the third dimension points to even know what shape we are dealing with exactly. It’s all assumptive and theoretical until we have all the points graphed.

@DarkHeaven That's a very valid point. Can we define a side for a sphere ?

@Mohana We’d have to call it something else. Per the definition of a geometric side it cannot have an arc and spherical shapes have arcs.