MathDB
Today's calculation of Integral 264

Source: 1976 Tokyo Institute of Technology entrance exam

January 10, 2008
calculusintegrationgeometryanalytic geometryAMCAIMEPutnam

Problem Statement

Find the area of the figure surrounded by the locus of the point P P inside the square with side length a a such that the distance to the center of the square is equal to the minimum distance to the side of the square.