# A circle of circles

1. Oct 25, 2004

### Sariaht

A circle with the radius R cuts the centers of circles with the radius r that does mearly touch eachother, What is the equation for the number of circles in the circle?

2. Oct 25, 2004

### Gokul43201

Staff Emeritus
$$No.~of~circles,~n=[\frac{\pi}{sin^{-1}(r/R)}]$$

where [ ] represents the greatest integer (or floor) function.

Last edited: Oct 25, 2004
3. Oct 27, 2004

### kishtik

Can you give a proof please?

4. Sep 14, 2005

### kishtik

You cant? :rofl: And im too lazy to look it up at the library...