Re: Problems finding out the area of a 0.5mm circle.

On 1 Feb 2006 05:52:10 -0800, "Petey" <johnpeterson02@xxxxxxxxxxx>
wrote:

>I'm still unsure how to find out how many circles with an area of
>7850nm2 will fit into a circle with the area of 196250000000nm2. in my
>novice way I am assuming that I would divide 196250000000nm2 by
>7850nm2, but as I am dealing with squared units I wonder if a simple
>division is inapplicable?

On the face of it, yes, since you are comparing area to area when you
divide one by the other,and its a question of "How many of these add
up to that?"  Looking at it from the left, though, you have to also
consider what is called "close packing." So examine the following:

How many unit diameter circles will fit into a rectangle that is 8 by
5?  The immediate thought might be 8 x 5 = 40.  However, if you shift
them to fit more closely [close packed], you can fit in 41.  i could
send a PDF to show you, but that's not allowed, so you'll just have to
ply with it.  Also, you might discover more in the process doing it
yourself.  

So, all I'm saying is to not take everything at face value, and think
it's a matter of doing some arithmetic.  Far more important is to have
a mental image of what it is that you are doing, and the actual
calculation is then secondary.

.

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