Power diagram
![A power diagram of four circles](/Images/godic/202502/04/Power_diagram.svg1913.png")
![The power of a point P outside of a given circle](/Images/godic/202502/04/Valor_de_la_potencia_de_un_punto_-_caso_exterior.svg1913.png")
![The radical axis of two intersecting circles. The power diagram of the two circles is the partition of the plane into two halfplanes formed by this line.](/Images/godic/202502/04/Radical_axis_intersecting_circles.svg1913.png")
In computational geometry, a power diagram is a partition of the Euclidean plane into polygonal cells defined from a set of circles, where the cell for a given circle C consists of all the points for which the power distance to C is smaller than the power distance to the other circles. It is a form of generalized Voronoi diagram, and coincides with the Voronoi diagram of the circle centers in the case that all the circles have equal radii.