2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72135In his works [R1,R2] David Robbins proposed several interrelated conjectures on the area of the polygons inscribed in a circle as an algebraic function of its sides. Most recently, these conjectures have been established in the course of several independent investigations. In this note we give an informal outline of these developments.To appear in Advances Applied Math. (special issue in memory of David Robbins)Metric GeometryCombinatorics51M25text