Can Be Circumscribed About a Given Triangle?

To circumscribe a triangle, all you need to do is find the circumcenter of the circle (at the intersection of the perpendicular bisectors of the triangle's sides). You can then find the radius of the circle, because the distance from the center of the circle to one of the triangle's vertices is the radius.

Can any triangle be circumscribed?

Theorem: All triangles are cyclic, i.e. every triangle has a circumscribed circle or circumcircle. ... (Recall that a perpendicular bisector is a line that forms a right angle with one of the triangle's sides and intersects that side at its midpoint.) These bisectors will intersect at a point O.

What shapes can be circumscribed?