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 Five Circle Division (Posted on 2006-08-26)
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 No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: Equation spoiler | Comment 3 of 15 |
(In reply to Equation spoiler by Larry)

Your equation looks to be correct if the circles have radius 1 (which was not in the given information). With circles of radius 1, e.g.'s point B is (3,1).

Added in edit:  As others have pointed out, it is not necessary for the circles to have radius 1. Larry's equation is be correct for any radius as long as A is at (0,0).

Edited on August 26, 2006, 5:36 pm
 Posted by Richard on 2006-08-26 11:52:00

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