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Cover the Circumference (Posted on 2010-05-25) Difficulty: 4 of 5
Start with a unit circle and draw four line segments each of length L. The first line is a chord: it begins and ends on the circle. Subsequent lines start from the midpoint of the previous line and end on the circle. If the fourth line ends where the first line begins, what is L?

Note that this sketch is an approximation.

No Solution Yet Submitted by Larry    
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  Subject Author Date
Some ThoughtsAnother approachBrian Smith2010-05-27 00:27:57
Partly analytic (spoiler)Harry2010-05-26 22:21:28
"The Framework"brianjn2010-05-26 10:23:41
Some ThoughtsGSP approximationCharlie2010-05-25 13:59:04
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