THE GEOMETRY OF THE CIRCLE

The history of π begins with approximation, but the mathematics of π ends in exact structure. Ancient Egyptians, Babylonians,
and later Archimedes each represent a stage in the human understanding of circular form. The Egyptian and Babylonian methods show how circles were handled in practice. Archimedes shows how geometry becomes proof. The radian shows why π is not just a circumference number but an angular constant embedded in arc length, oscillation, and rotation.
From this study, the fin...