Image:Pi-unrolled.gif

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[edit] Summary

Animation of the act of unrolling a circle's circumference, illustrating the ratio π.

[edit] FP caption

A number line is marked off by a circle of unit diameter. Starting from zero, the circle "unrolls" its circumference. At one full turn, the unrolled circumference has extended to the point we call π. This number is irrational, transcendental, and cannot be constructed with compass and straightedge. However, π is entirely real. If you have a nail in your tire, you drive your car along the road π times the size (diameter) of your tire each time you hear a click.

Illustration credit: John Reid
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[edit] Licensing

I, the creator of this work, hereby grant the permission to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. Subject to disclaimers.

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	Date/Time	Dimensions	User	Comment
current	21:01, 15 October 2006	720×228 (260 KB)	John Reid (Talk \| contribs)
	19:53, 5 October 2006	360×114 (63 KB)	John Reid (Talk \| contribs)
	01:27, 19 April 2006	360×132 (38 KB)	John Reid (Talk \| contribs)
	17:25, 5 April 2006	362×132 (79 KB)	John Reid (Talk \| contribs)
	17:24, 5 April 2006	362×132 (36 KB)	John Reid (Talk \| contribs)	(Animation of the act of unrolling a circle's circumference, illustrating the ratio π. )