converse theoram of equal chord of circle subtend equal angle and the center
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Theorem 1: Two equal chords subtend equal angles at the center of the circle. ... Converse of theorem 1 is also true, according to which if two angles subtended at center by two chords are equal then the chords are of equal length. From fig. 3,if ∠AOB = ∠POQ, then AB = PQ.
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