perplexus.info :: Shapes : Covering a rectangle by circles

Covering a rectangle by circles (Posted on 2012-01-30)

Prove, that if a given rectangle can be covered by 100 circles each of r=2, then it can be covered by 400 circles each of r=1.

Submitted by Ady TZIDON

Rating: 4.5000 (2 votes)

Solution: (Hide)

Harry solved:...Scale down the given rectangle and its circles by halving the dimensions. It will then appear as a quarter of the original rectangle covered now by 100 circles with r=1. This pattern of covering can then be used for each quarter of the given rectangle using 400 such circles altogether.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution.....I agree ...spoiler	Ady TZIDON	2012-01-31 13:00:27
Solution	Harry	2012-01-31 12:12:22
re(2): Possible solution	broll	2012-01-31 11:02:56
re: Possible solution	Steve Herman	2012-01-31 10:21:50
Possible solution	broll	2012-01-31 02:01:07
Thoughts	Jer	2012-01-30 12:33:57

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