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Australian AMC 2023 - Intermediate Question 29

AMC AUSTRALIA · Australian AMC 2023 - Intermediate

Question 29

Two wheels are fixed to an axle as shown. Their radii are 105 cm and 70 cm, and the axle separation is 120 cm. Because the wheels have different sizes, they trace two concentric circles when rolled on level ground. What is the radius, in centimetres, of the circle traced by the larger wheel?

Question illustration