Question

what is the special property for circumcenters?
the circumcenter is equally distant to the midpoint of the sides of the triangle.
the circumcenter is equally distant to the vertices.

Explanation:

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect. By the property of perpendicular bisectors, any point on the perpendicular bisector of a segment is equidistant from the endpoints of that segment. Since the circumcenter lies on the perpendicular bisectors of all three sides of the triangle, it is equidistant from the three vertices of the triangle.

Answer:

The circumcenter is equally distant to the vertices.