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IMSO 2008 Mathematics Contest in Taiwan – Short Answer Question 3

IMSO Maths · IMSO 2008 Mathematics Contest in Taiwan – Short Answer

Question 3

The diagram depicts seven soft-drink cans, seen from above, held tightly together by a ribbon. The circles represent the tops of the cans; the other curve, which is clearly not a circle, represents the edge of the ribbon. The ends of the ribbon meet exactly, with no overlap. All cans have diameter 6 cm. Find the exact length of the ribbon. (Take $\pi=3.14$.)

Question illustration