MathDB
Find max area of quadrilateral

Source: Indian National Mathematical Olympiad 2012 Question 1

February 5, 2012
geometryinequalitiestrigonometryfunctioncircumcircletopologygeometry proposed

Problem Statement

Let ABCDABCD be a quadrilateral inscribed in a circle. Suppose AB=2+2AB=\sqrt{2+\sqrt{2}} and ABAB subtends 135135 degrees at center of circle . Find the maximum possible area of ABCDABCD.
Back to ProblemsView on AoPS