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IMAS 2013–2014 Junior Division — Round 2 Question 11

IMAS · IMAS 2013–2014 Junior Division — Round 2

Question 11

A cardboard windmill with three blades is made from four equilateral triangles of side length 6 cm. Two triangles sharing a common vertex have the corresponding sides lying on the same straight line, as shown in the diagram. The area of the circle swept out by the blades of the windmill is $x$ cm². What is the greatest integer less than or equal to $x$?

Question illustration