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SMO 2016 Junior Round 1 Question 13

SMO · SMO 2016 Junior Round 1

Question 13

In the diagram, $AB$, $AC$, $CD$ and $DB$ are respectively the diameters of the circles $c_1,c_2,c_3$ and $c_4$. If the circumference of $c_1$ is $2016$, what is the sum of the circumferences of all four circles?

Question illustration