MathDB
Find the area

Source: Cono Sur Olympiad, 1995, Problem #5

May 28, 2006
geometryratiofunction

Problem Statement

The semicircle with centre OO and the diameter ACAC is divided in two arcs ABAB and BCBC with ratio 1:31: 3. MM is the midpoint of the radium OCOC. Let TT be the point of arc BCBC such that the area of the cuadrylateral OBTMOBTM is maximum. Find such area in fuction of the radium.