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SMO 2011 Open Round 1 Question 1

SMO · SMO 2011 Open Round 1

Question 1

A circular coin $A$ is rolled, without sliding, along the circumference of another stationary circular coin $B$ whose radius is twice that of $A$. Let $x$ be the number of degrees through which $A$ turns about its centre until it first returns to its initial position. Find $x$.