How can i do this two figures? semicircles on circle...

look the image, how to create it? if i want 16 semicircle over a circle what i have to do? can't find a solution on myself.
and if want it on a square?
thank you
[URL=http://imageshack.us/photo/my-images/15/tttmb.jpg/][IMG]http://img15.imageshack.us/img15/6715/tttmb.jpg[/IMG][/URL]

Tr4y this it might be simpler in some ways
I made a rectangle and gave it a stroke in this case 30mm
then I made that a dash use round caps a 0 dash and 29mm gap
Then I outline the stroke
Gve the resulting art a fill of none and a stroke of 1mm
Then I used the Unite Coommand on the Pathfinder
Then I deleted the the interior element and go this.
As far as an exact number that is a matter of math the relationship of the wieght of the stroke to the size of the rectangle or Ellipse.

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