Question:
If $\operatorname{arcs} A X B$ and $C Y D$ of a circle are congruent, find the ratio of $A B$ and $C D$.
Solution:
Let $A X B$ and $C Y D$ are arcs of circle whose centre and radius are $O$ and $r$ units, respectively. Hence, the ratio of $A B$ and $C D$ is 1:1.
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