perplexus.info :: General : Converging Circumference

Converging Circumference (Posted on 2004-08-09)

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
Puzzle Answer	K Sengupta	2023-08-09 09:57:11
Solution belated	salil	2006-02-15 02:32:34
Web solution	Oskar	2004-08-09 14:21:32
Computer calculation, and reference data	Charlie	2004-08-09 13:11:20
first steps	Tristan	2004-08-09 12:54:49

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