Geometry · Circle · Chord · Concentric circles · Right triangle

Problem 1, 2007

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Two concentric circles of radii \(7\) cm and \(11\) cm are drawn in the plane. The smaller circle cuts a chord of the larger circle into three pieces of equal length. How long is that chord?

A C D B O 7 cm 11 cm
The three marked pieces of the chord have equal length.

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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), izbirno (selection) round 2007, 1. letnik, category A, problem 1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source