<P> 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. ​ ⁄ × 2πr × r ) holds in the limit for a circle . </P>
<P> 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. ​ ⁄ × 2πr × r ) holds in the limit for a circle . </P>
who discovered formula for area of a circle
who discovered formula for area of a circle
Archimedes
Archimedes