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Five Circle Division (Posted on 2006-08-26) Difficulty: 2 of 5
Five circles are arranged in the following fashion ( Two rows of 3 circles in square arrangement with one end circle removed from the top row ). Circles are of same diameter and touching adjoining circles as per the diagram. Draw a line passing through A ( Centre of the first circle on the bottom row ) in such a way that it divides the five circles into two equal areas.


                           *                 *
                      *         *       *         *
                    *             *   *             *
                   *               * *               *
                  *                 *                 *
                   *               * *               *
                    *             *   *             *
                      *         *       *         *
         *                 *                 *
    *         *       *         *       *         *
  *             *   *             *   *             *
 *               * *               * *               *
*        A        *                 *                 *
 *               * *               * *               *
  *             *   *             *   *             *
    *         *       *         *       *         *
         *                 *                 *
       
      

No Solution Yet Submitted by Salil    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re: solution - neater than Geometric Construction | Comment 14 of 15 |
(In reply to solution by Stefan)

Stefan,
When I first glanced at your solution I didn't take it in, I was too concerned to see whether anyone had posted my viewpoint.

After having offered my response I note that we both had chosen a geometric construction.

I tend to feel that your solution is tidier than mine as it requires less constructional work to get to the result. 

Well done.

  Posted by brianjn on 2006-08-26 19:53:10

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