A circle is a continuous curve. A vertex is the intersection of two (or possibly more) line segments. A circle has no intersecting line segments. It is a curve, and does not have a vertex or vertices. None at all.
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a cone
3 vertices, 3 edges and 1 face.
1 face, 1 edges & 0 vertices
0 edges, 1 face and 0 vertices.
A cone. It has a circle for the base, and a curved face tapering to a point.