What is the center point of any curve called?

The center point of any curve is referred to as the apex. This term is often used in geometry and mathematics to designate a high point or the top part of a structure. In the context of curves, especially in relation to parabolas or arcs, the apex can signify the highest point of the curve or the point where two curves meet.

Understanding the other terms provides context: the vertex usually refers to a specific point on a geometric figure, particularly in triangles or angles. The radius is a term used in circles to denote the distance from the center to any point on the circumference, while angle refers to the figure formed by two rays or lines meeting at a point. Hence, apex is the most fitting term to describe the center point of a curve, as it encapsulates the idea of a peak or defining top point.