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Q: How many noncollinear points are needed to determine a circle?

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yes. For example the corners of a square, or on the circumference of a circle.

Yes. In fact, given any three non-collinear points, there is one (and only one) circle that passes through all three points.

A plane. A circle can also pass through three non-co-linear points.

You have to have three or more points to have non-colinear points because any two points determine a line. Noncolinear are NOT on the same line.

noncollinear

Two distinct (different) points are needed to determine a line.

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