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AMC practice (1 Viewer)

mathsbrain

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Hi can anyone explain the following?

Two identical coins are placed one inside and one outside a thin circular wire, which has twice the diameter of each coin. Each coin is rolled, without slipping, around the wire until it returns to its starting point. If the direction of rotation does not matter, what is the difference, in degrees, between the angle through which the outer coin rotates and the angle through which the inner coin rotated?
Thanks
 

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