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Ring of Circles (Posted on 2013-08-17) Difficulty: 3 of 5

Define a Ring of Circles ROC(n,r,P,a) as a set of
n≥3 circles (each with radius r, each with center on
a circle with center P and radius a, and each
externally tangent to both its neighbors).

With b>a, each of the circles in ROC(6,R,P,b)
is externally tangent to two of the circles in
ROC(6,r,P,a).

What is the ratio b/a?

Extra credit - what is the ratio if 6
is replaced with n in the problem?

See The Solution Submitted by Bractals    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionHarry2013-08-21 10:46:48
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