A circle has no vertices.
Vertices are defined as the points where two or more curves meet or intersect. In the case of a circle, it is a smooth, continuous curve with no angles or corners, which means it does not have any intersection points.
To further elaborate, if you visualize a circle, you’ll see that it forms a perfectly round shape. Unlike polygons, which have distinct points where the sides meet (the vertices), a circle is defined by a set of points that are equidistant from a central point, known as the center. Therefore, the answer is clear: a circle has zero vertices.