Calculating Pi: Archimedes

Archimedes, a pioneer in applied mathematics, focused on the circle to approximate π, the ratio of a circle's circumference to its diameter. While ancient civilizations like the Egyptians had rough estimates of π, Archimedes developed a more precise method by inscribing and circumscribing polygons around a circle. By increasing the number of polygon sides, he achieved a highly accurate approximation of π, realizing its infinite decimal nature. His work laid the foundation for future mathematical discoveries.

What method did Archimedes use to calculate the area of a circle?

What realization did Archimedes come to regarding the value of π?