perplexus.info :: Geometry : Circles Abound (2)

Circles Abound (2) (Posted on 2004-10-17)

I've a black circle of radius 5.

I wish to create 5 identical white circles of some lesser radius, which I will place on top of the black circle and completely obscure (cover) the black circle.

What is the smallest radius which I can make the smaller circles and still meet my requirement?

No Solution Yet Submitted by SilverKnight

Rating: 3.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Solution

| Comment 9 of 12 |

I believe the solution is

R=2.5/cos(36) or approximately 3.09

Posted by Steve on 2004-10-19 19:35:34

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