who discovered formula for area of a circle
Area of a circle One method of deriving this formula, which originated with Archimedes, involves viewing the circle as the limit of a sequence of regular polygons. The area of a regular polygon is half its perimeter multiplied by the distance from its center to its sides, and the corresponding formula (that the area is half the perimeter times the radius, i.e. ​1⁄2 × 2πr × r) holds in the limit for a circle.