Farthest points in asymmetric 2D closed curve

Question

Is there a mathematically proper name for the two points that are located farther away from each other in a 2D asymmetric closed curve? See the image below to get an idea of what I mean.

Answer 1

A pair of points with this property ($d(a,b)=\operatorname{diam}C$) is called a diametral pair.

Every compact set has at least one diametral pair. It is not unique in general (e.g., for a circle).