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# Kissing Circles

Started by BMAD, May 10 2013 07:19 PM

2 replies to this topic

### #1

Posted 10 May 2013 - 07:19 PM

Inside an orange unit circle we fit two blue circles of radius 1/2. A yellow circle is tangent to the two blue circles and the inner edge of the orange circle. A green circle inside the orange circle is tangent to one of the blue circles, the yellow circle, and the orange circle. If the orange circle is centered at (0,0) what are the coordinates for the centers of the other four circles? The blue ones should be easy.

Presume the circles are placed in the circle as shown in the picture.

### #2

Posted 12 May 2013 - 02:19 AM

Spoiler for hint1

### #3

Posted 12 May 2013 - 06:29 AM Best Answer

Spoiler for Looks like

*The greatest challenge to any thinker is stating the problem in a way that will allow a solution.*

- Bertrand Russell

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