The pool you are working at this summer wants to open up a refreshment stand that is equal distance to the pool, the restrooms, and the volleyball court. If the pool, the restaurant, and the volleyball court are all vertices of a triangle which point of concurrency would you build the refreshment stand? The circumcenter the incenter, or the centroid. Explain your choice.
All the points on a circle are equidistant from its center. To make the vertices of the triangle be points on a circle, the circle must be a circumcircle. Its center is the circumcenter.