# Five Circles and the Golden Ratio

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Place five circles of diameter symmetrically about a given point. They intersect the unit circle at the vertices of a regular pentagon when or , where &straightpi; is the golden ratio, 1.61803….

Contributed by: Sándor Kabai (October 2007)

Open content licensed under CC BY-NC-SA

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"Five Circles and the Golden Ratio"

http://demonstrations.wolfram.com/FiveCirclesAndTheGoldenRatio/

Wolfram Demonstrations Project

Published: October 3 2007