Question

What are the steps for constructing a circumscribed circle for using only a compass and a straightedge?

Answer 1

Find the incenter of the triangle.
Draw a perpendicular from the incenter to one of the sides. Mark the point of intersection with the side.
Set the distance between compass points to the distance between the point of intersection and the incenter. This is the radius of the circle

Answer 2

Construct the perpendicular bisector of one side of triangle
Construct the perpendicular bisector of another side
Where they cross is the center of the Circumscribed circle
Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle!