Secant splits a circle
Source: Finland 2012, Problem 1
May 5, 2013
ratioquadraticstrigonometryalgebratrig identitiesLaw of Cosinesgeometry unsolved
Problem Statement
A secant line splits a circle into two segments. Inside those segments, one draws two squares such that both squares has two corners on a secant line and two on the circumference. The ratio of the square's side lengths is . Compute the ratio of the secant line versus circle radius.