Circle Square (Posted on 2004-01-13)

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)?

	Submitted by SilverKnight
Rating: 2.3750 (8 votes)
Solution:	(Hide)
Draw a square with vertices on the center of each of the big circles. The sides are 2, so the diagonal of 2√2 equals 2 plus twice the small circle's radius. So, the largest circle which can be placed has radius: √2 - 1.

	Subject	Author	Date
	answer	K Sengupta	2007-09-11 04:43:44
	Solution	Praneeth Yalavarthi	2007-07-17 06:45:44
	re: Super Blonde? Of course ...	Richard	2004-10-20 18:45:02
	Super Blonde? Of course ...	CeeAnne	2004-10-20 05:36:31
	re(2): Please Note	Richard	2004-10-20 04:37:46
	re: re: Please Note	CeeAnne	2004-10-20 02:30:00
	re: Please Note	Richard	2004-10-20 00:28:06
	Please Note	CeeAnne	2004-10-19 23:42:01
	that's correct charlie	joel	2004-01-19 02:22:06
	answer?	mark hartman	2004-01-14 19:48:30
	re: Tessellation	Surender Taalla	2004-01-13 14:50:14
	No Subject	Dan Blume	2004-01-13 11:23:25
	re: Tessellation	Federico Kereki	2004-01-13 10:08:19
	solution	Charlie	2004-01-13 09:27:05
	Tessellation	e.g.	2004-01-13 08:48:01