Plane geometry I · Chapter II · Challenge
Grandmother cut a round pizza into \(6\) equilateral triangles and \(6\) circular segments, as in the picture. Each of her \(6\) grandchildren ate one triangle. The grandchildren do not like the crust, so the dog Muri ate all six circular segments. Who ate more pizza, one grandchild or Muri?
(You may use the estimates \(\frac{31}{10} < \pi < \frac{22}{7}\).)
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), izbirno (selection) round 2003, 1. letnik, category A, problem 4. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source