Jump to content

User:Lark046/Area

From Wikipedia, the free encyclopedia

March 27, 2007 (originally conceived April 25, 2001):

Proof that a circle’s area is

Looking at only the first quadrant, we can constrain . To get the total area, take the area found in the first quadrant and multiply by 4.

Let

Substituting:

Move the constants across the integral:

Let

Substituting:

Let

Substituting:

Move the constants across the integral:

Let

Substituting: