To construct a square inscribed in a circle using a compass and straightedge, the steps should be arranged in the following order:
1: d. Use your compass to construct a circle with its center at a given point.
2: c. Use your straightedge to draw a diameter of the circle.
3: b. Use your compass to construct the perpendicular bisector of the diameter.
4: a. Find the intersection points of the diameter and the circle and the perpendicular bisector and the circle. Connect these intersection points.
This sequence will allow you to successfully construct a square inscribed in the circle.