A cone does not have a vertex. A vertex is defined as a point where two lines meet; a triangle has three vertices, and the angular face of a pyramid has a vertex. However, a cone is a three-dimensional figure and has a curved surface.
The base of a cone is circular. The top of the cone is a single point called the apex of the cone. A right circular cone is formed when the apex lies exactly beneath the center of the circular base. In such a case, the angle formed at the center of the base is a right angle. The area of the cone is the sum of the areas of the base and the curved surface.