April 24th, 2017, 12:58 AM  #1 
Newbie Joined: Apr 2017 From: Norfolk Posts: 1 Thanks: 0  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 
April 24th, 2017, 05:37 PM  #2 
Senior Member Joined: Dec 2015 From: Earth Posts: 194 Thanks: 23 
Probability

April 26th, 2017, 05:05 PM  #3 
Member Joined: Jan 2016 From: Athens, OH Posts: 79 Thanks: 39 
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.) 

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