Area of Circle/Proof 7

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Theorem

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

$A = \pi r^2$

where $r$ is the radius of the circle.


Proof

By the method of exhaustion:

AreaOfCircleMethodOfExhaustion.png




Historical Note

The technique of finding the Area of Circle by means of the method of exhaustion was devised by Archimedes of Syracuse.


Sources