When you need to construct a circle, the major factor to consider is the radius.
The radius is the same distance from any point around the circumference of the circle to the centre. Since the radius is not given, you however need to look for clues.
You start by joining the points to arrive at two lines, for example, join points X and Y and then join points Y and Z.
Next you bisect each of the two lines one after the other (bisect along the perpendicular)
You will observe that both perpendicular bisectors would touch at a point. That point where they touch or "cross each other" is the center of your circle.
Next you place the sharp tip of your compass on the center of your circle, adjust its distance to the pencil end (that is your radius) and as soon as it touches one of the three points, you draw your circle.