A circle has zero sides.
Circles are fundamentally different from polygons, which are defined by having straight sides (line segments). A circle is defined as the set of all points in a plane that are equidistant from a central point. This continuous curve, known as the circumference, doesn't have any straight sides or angles.
Here's why a circle doesn't have sides:
- Definition of a Side: A side, in geometric terms, is a straight line segment connecting two vertices (corner points).
- Circle's Nature: A circle is a continuous curve, lacking any vertices or straight line segments. It's a closed curve where every point is the same distance from the center.
- No Angles: Sides, by definition, create angles where they meet. A circle has a constant curvature and no defined angles in the same way that polygons do.
In contrast, consider a square:
| Feature | Square | Circle |
|---|---|---|
| Sides | 4 (straight line segments) | 0 (continuous curve) |
| Vertices (Corners) | 4 | 0 |
| Angles | 4 (90 degrees) | None in the traditional sense |
Therefore, due to its curved and continuous nature, a circle inherently lacks sides.
