Circle with interior arc segments

[DrD]

Thanks! Your response is very helpful! With your help, I discovered that the factor r3:= (r*SIN(a))/COS(a) is the key, and stepping by pi/12 is necessary. Also, that the loop 'a' runs to pi/2, after which the x and y parameters go out of bounds.

Would you have any insight on how to constrain the segments to within the semi-circle, as a function of the 'a' angle in the loop? One way might be to test for the semi-circle radius (x,y) endpoint, but it seems like the arc segment length (w1,w2) should also be a trig function of the step angle, I just haven't quite figured out how that would work.

Geometry, unfortunately, was never my fine suit.

-Dale-