Area of Circle/Proof 3/Historical Note

Historical Note on Archimedes's Proof of Area of Circle

The area $A$ of a circle is given by:

$A = \pi r^2$

where $r$ is the radius of the circle.


The area of a circle was determined by Archimedes in his Measurement of a Circle.


Sources

  • 1937: Eric Temple Bell: Men of Mathematics ... (previous) ... (next): Chapter $\text{II}$: Modern Minds in Ancient Bodies
  • 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.5$: Archimedes (ca. $\text {287}$ – $\text {212}$ B.C.)
  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): indirect proof
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): indirect proof