A circle.
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A closed shape that is not a polygon made entirely of segments is a circle. Unlike polygons, which are composed of straight line segments, a circle is defined as the set of all points equidistant from a central point, and its boundary is smooth and curved. Other examples include ellipses and certain types of curves, such as ovals or closed curves like a figure-eight. These shapes do not have the straight edges characteristic of polygons.
The slope of a curved line at a point is the slope of the tangent to the curve at that point. If you know the equation of the curve and the curve is well behaved, you can find the derivative of the equation of the curve. The value of the derivative, at the point in question, is the slope of the curved line at that point.
A curved surface area can be described as one where the gradient of the normal to the surface changes smoothly from point to point.
One, around the base. As a matter of fact it is the only edge of a cone which also has a vertex at the point.
radial symmetry