Question 936245: How many circles are determined by nine points?
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! Your question is too vague. For any three points in the plane, not all collinear, there is a unique circle that passes through those points, in which the number of circles is at most 9C3 = 84, assuming no two circles are the same. Or you could be referring to the famous nine-point circle of a triangle, which is determined by the midpoints of the sides, the feet of the altitudes, and the midpoints of the lines from the sides to the orthocenter.
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