Centre of the Circle Through Three Points

Rarely Tested

Centre of the Circle Through Three Points

For three non-collinear points, the centre is the intersection of the perpendicular bisectors of any two sides.

$$O\in\text{Perpendicular bisector of }AB$$

$$O\in\text{Perpendicular bisector of }BC$$

Usage

- Used to find the circumcentre geometrically.

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