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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)

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re: Please Note | Comment 9 of 15 |
(In reply to by )

The problem as stated has the stated solution.

Problem statement: 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)?

Solution statement: Draw a square with vertices on the center of each of the big circles. The sides are 2, so the diagonal of 2sqrt(2) equals 2 plus twice the small circle's radius.So, the largest circle which can be placed has radius: sqrt(2) - 1. 
 


  Posted by Richard on 2004-10-20 00:28:06
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