Establishing constant tangent relationship

I’m running into a situation where I struggle to find out the solution. Hope that anyone that had the same problem before could give me some tips.

Given that point A1, A2 and the center of the circle are on the same construction plane and their coordinates are pre-determined. How could I establish a relationship so that for every point A (I have 264 points namely A1, A2…A264), it will create a line tangent to the circle and at the same time form an angle of 90ᵒ with the radius at the tangent point (as showed in the images)


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