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Draw three points at random and you can determine a circle with a compass. How to draw (all three points are on a round line) was told by the middle school geometry teacher, and I forgot.
1, connect three points to make a triangle.

2. Select two sides as the center lines of these two sides.

The method of the center line: use compasses to support at one end of one side, draw an arc just above the side, and then support and draw an arc at the other end. Two arcs intersect at a point, which is the perpendicular to the edge.

3. In the same way, make another side centerline.

4. Two center lines (or extension lines) intersect at a point, which is a point!

5. Take this point as the center and the distance from this point to the endpoint (the distance from this point to the three endpoints is the same) as the radius, and draw a circle to get what you want.