Hexagon-Circle-Hexagon

 

Solution

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To solve the puzzle it is enough to turn the smaller hexagon as shown in the illustration. The inner straight lines divide the larger hexagon into 24 congruent triangles, 18 of which form the smaller hexagon. The ratio of areas is 18 : 24 = 3 : 4, and so if the smaller hexagon has an area of three, the larger one has as area of four.

 
Posted: May 5, 2007
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