Question

if the angle subtended by the chords of a circle at the centre are equal, then the the chords are equal. ​

Answer 1

Answer:

If the angles subtended by the chords of a circle at the center are equal , then the chords are equal. Hint: It is no surprise that equal chords and equal arcs both subtend equal angles at the centre of a fixed circle.

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Answer 2

Answer:

According to the theorem, if the angles subtended by two chords at the centre of a circle are equal, then the chords are equal. Therefore, the two parallel chords are equal. Hence, proved.

Step-by-step explanation:

Theorem 1: Equal chords of a circle subtend equal angles at the center. Given: AB and CD are two equal chords of a circle with a center O. ⇒ ∠AOB = ∠COD. Proved.