Question

If arcs$AXB$ and$CYD$ of a circle are congruent, find the ratio of $AB$ and $CD$.

Answer 1

Find the ratio of given chords

We know that, if two arcs of a circle are congruent, then their corresponding chords are also congruent

arc $AXB\cong$arc $CYD$

$\therefore$ chord $AB\cong$chord $CD$

$\therefore$ $AB=CD$

$\therefore$ $\frac{AB}{CD}=1$

Hence the ratio of $AB$ and $CD$ is $1:1$.