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Given a point in space (x, y), and a circle with a radius (r) centered at (a, b), how would I calculate the point on the diameter of the circle where the tangent would pass through point (x, y)?

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draw a straight link down from the point (a,b) to the tangent point on the circle.

Do you see the right angle triangle formed? Can you then determine the length?

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  • $\begingroup$ I know the shortest side is the length of the radius, and the longest side would be the difference in the positions of the circle center and the point. I can then calculate the distance between the 2 points, so yes I can find the distances of all the points involved. $\endgroup$ – BayssMekanique Feb 19 '14 at 20:12
  • $\begingroup$ And that should give you the right answer, good luck $\endgroup$ – David L Feb 19 '14 at 20:15

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