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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: ( Back to comment list | You must be logged in to post comments.)
Puzzle Answer Comment 5 of 5 |
The required limiting radius is aaproximately equal to 8.7000366.
  Posted by K Sengupta on 2023-08-09 09:57:11
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