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Converging Circumference (Posted on 2004-08-09) Difficulty: 5 of 5
Draw a unit circle.
Around it, circumscribe an equilateral triangle.
Circumscribe another circle around that.
Circumscribe a square around this circle.
Circumscribe another circle around that.
Circumscribe a regular pentagon around this circle.
Circumscribe another circle around that.

Continue, ad infinitum, with the next regular polygon.

Do the radii of these circles converge? If so, what is the limiting radius?

No Solution Yet Submitted by ThoughtProvoker    
Rating: 2.7500 (4 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solution belatedsalil2006-02-15 02:32:34
SolutionWeb solutionOskar2004-08-09 14:21:32
Computer calculation, and reference dataCharlie2004-08-09 13:11:20
Some Thoughtsfirst stepsTristan2004-08-09 12:54:49
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