MathDB
4 pieces with equal area in a circle, <KOL < 75^o

Source: 2004 Estonia National Olympiad Final Round grade 12 p 1

March 25, 2020
geometrycircleequal areaschord

Problem Statement

Inside a circle, point KK is taken such that the ray drawn from KK through the centre OO of the circle and the chord perpendicular to this ray passing through KK divide the circle into three pieces with equal area. Let LL be one of the endpoints of the chord mentioned. Does the inequality ∠KOL<75o\angle KOL < 75^o hold?
Back to ProblemsView on AoPS