# Geometry problem

1. May 16, 2004

### Itachi

clear post

.....................................................clear post........

Last edited: May 17, 2004
2. May 16, 2004

How are the circles inside arranged?

3. May 16, 2004

### Gokul43201

Staff Emeritus
For one particular arrangement, the answer will be about 0.28. This involves the centers of the little circles forming a regular octagon.

4. May 16, 2004

### Gokul43201

Staff Emeritus
Actually this is sin(Pi/8) / [ 1 + sin(Pi/8) ]

5. May 16, 2004

And which ratio are you looking for? The ratio of the areas or the ratio of the radii or diameters?

6. May 16, 2004

### AKG

I think, if you know that:

...its like one small circle and 7 small circles around that. The large circle will have a diameter of 3 smaller circles...

then you should be able to find the answer easily. If you have the ratio of diameters, surely you can find the ratio of the areas. However, are you sure this is true? Can 8 circles be arranged in such a way? Perhaps you can make a simple .bmp image and attach it to show how exactly the circles should be touching.