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Circles around Circles (Posted on 2007-12-23) Difficulty: 3 of 5
Three circles (A, B, and C) are tangentially connected:

Properties:
1) Circle B's radius is twice the radius of Circle A.
2) Circle C is of the exact size that if it rolls around A, or it rolls around B, it will touch A and B on the opposite side at identical points E and F.

What is the radius of Circle C if:
1) C > B
2) B > C > A
3) A > C (C is a maximum)

No Solution Yet Submitted by Leming    
Rating: 3.7500 (4 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionre: solution part 1 -- now parts 2 and 3Charlie2007-12-27 21:01:17
Solutionsolution part 1Charlie2007-12-27 20:15:37
Some ThoughtsI may be going about this the hard way....Dej Mar2007-12-27 19:26:12
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