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AMO 2019 – Secondary 3 (Grade 9) Question 24

AMO · AMO 2019 – Secondary 3 (Grade 9)

Question 24

A circle of radius $1$ rolls without slipping once around the inside of a right triangle with side lengths $9,12,15$, returning to its starting position. How far does its centre travel? The centre follows the inner offset boundary at distance $1$ from the sides.

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