Circle with interior arc segments

[Han]

I'm not sure I understand the question at hand. Based on the original code, is the i-th blue arc supposed to intersect the red semicircle at angles 0 and i*pi/6 for i from 0 to 6 (angles relative to the center of the red semicircle? It seems to me that more information is needed. There are infinitely many circles that will intersect your red semicircle at only two points. Do the blue arcs have to intersect the red semicircle at right angles, perhaps (i.e. Poincare' disk model)?