Theorem of Equal Chords Subtending Angles at the Center
AB and PQ are...
Question
AB and PQ are two equal chords of a circle. If the length of minor arc and major arc formed by AB is 24cm and 64cm, respectively, then find the length of minor and major arc formed by PQ.
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Solution
If two arcs of a circle are congruent, then their corresponding chords are equal and vice-versa.
Therefore the length of minor and major arc formed by PQ is 24 cm and 64 cm, respectively.