As a mathematician myself, perhaps I can shed a dim light on your post.

Area is a second degree variable, versus volume which is a third degree. As you increase the radius by a one linear unit, you are actucally squaring the change. Because you want to compare different sized circles, you can eliminate pi (a good approximation is: 355/113 or the more common, but less accuratre 22/7, because the comparison datio cancels out any units and constants). As you increase the radius, the function is increased by the square of the radius. Example: 10" diameter circle, radius of 5, gives a square of 25. Move to a 12" diamter, radius of 6, the square becomes , 36.

What this means is this:<BR>

5^2=25<BR>

6^2=36<BR>

7^2=49

Therefore, a 10" circle compared to a 15" circle is in the ratio of: 25 units : 56.25 units or about 1 : 2.25.

Now, I've really muddied up the waters, huh?

WW