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Circle Square (Posted on 2004-01-13) Difficulty: 2 of 5
In a square of side 4, I pack 4 circles of unit radius.

What's the largest circle I can fit into the center (such that it doesn't overlap the other circles)?

See The Solution Submitted by SilverKnight    
Rating: 2.3750 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Tessellation | Comment 1 of 15
Imagine the complete plane tessellated with large/small circles, such as above. Then, the diameter of the blue circle plus the diameter of the red circle, add to the diagonal of the square.
  Posted by e.g. on 2004-01-13 08:48:01
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