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IMSO 2007 Mathematics Contest in Taiwan – Short Answer Question 11

IMSO Maths · IMSO 2007 Mathematics Contest in Taiwan – Short Answer

Question 11

A goat is tied by a rope to a corner of a rectangular shed as shown. The shed is 8 metres long and 5 metres wide, and the rope is 10 metres long. Grass surrounds the shed. What area, in square metres, can the goat graze? The ratio of the circumference of a circle to its diameter is given as $\pi=3.14$.

Question illustration