DK-GEORGMOHR 2006 Problem 1
The star shown is symmetric with respect to each of the six diagonals shown. All segments connecting the points with the centre of the star have the length , and all the angles at indicated in the figure are right angles. Calculate the area of the star.
Dataset text AI-MO AoPS. Quoted with source.
Official text: Georg Mohr Contest 2006 official paper, page 1.
Solutions
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