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April 23rd, 2017, 11:58 PM   #1
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Tricky math problem

Hi Guys,

I'm new to this forum and would like to put forward a math problem I am struggling to find a solution to, the question is:

You have a circle of which you know the radius of. The circle has a 2mm section through the diameter of the circle (which cannot be used). You need to fit 6 circles within the inner circumference of the larger circle of one side. What is the largest circles you can fit within this?

I have been trying to formulate an equation to work this out but keep coming against hurdles every time I come close. Any ideas??

Please see attachment for clearer explanation
Attached Images
 circles.jpg (13.2 KB, 17 views)

 April 24th, 2017, 04:37 PM #2 Senior Member   Joined: Dec 2015 From: Earth Posts: 221 Thanks: 26 Probability
 April 26th, 2017, 04:05 PM #3 Member   Joined: Jan 2016 From: Athens, OH Posts: 86 Thanks: 44 Here's a solution to your problem. It may not be what you want since a numeric solution of an equation is required. (Wolfram alpha had a crack at an analytic solution, but didn't really arrive at such.) Thanks from topsquark and Joppy

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