Proof By Picture For The Area Of A Circle


There are many different types of learners. The following proof of the well known formula for the area of a circle is completely visual. All one really has to remember to follow this visual proof is recall that the circumference of a circle is given by 2 pi times the radius of the circle.

The following is a “proof by picture” that the area of circle is pi times the radius squared.









Now observe that in the two cases, we get “rectangles” of area Length times width =

See….. not all math proofs are cryptic and difficult to grasp.

A very quiet Asian kid showed me this fascinating visual proof. One reason he likes visual proofs is their “language independence”. Too bad the United States seems to be currently rejecting college applications submitted by Asian Americans.


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