This Demonstration examines one measure of district compactness: the ratio between the area of the district and the area of the "minimal circumcircle", the circle of least area that contains all points within the district. The Demonstration presents a starting set of points defining the district, which is colored purple. You can move these points around, add points, or subtract points. The Demonstration then computes and shows in yellow the "convex hull" of the district. It likewise shows in red the minimal enclosing circumcircle. A grid below the diagram shows two measures of district compactness: the ratio of district area to convex hull area and the ratio of district area to minimal circumcircle area. Both of these measures have been suggested as potential measures of district compactness.