Steps to Construct a Circle Through Points x, y, and z
Given;
The number of given points = 3 x, y, and z
Method:
The given points can be taken as the vertex of a triangle, Δxyz
Solution;
The steps to draw an circumscribed circle of a triangle involve finding the
circumcenter of the triangle as follows;
1) Construct the perpendicular bisector of the three sides.
Place the compass at the endpoints of each side, and draw arcs that intersect above and below the side.
Join the intersection points of the arcs to form the perpendicular bisector.
2) Place the compass point at the point of concurrency of two or three
perpendicular bisector, and open the compass to one of the vertices to
obtain the radius of the circle.
3) With the radius from the step above, draw a circle that passes through
the three given points to complete the circle.
