Question

What are the chord of a circle theorems?

Answer 1

Explanation.

Chord of a Circle Theorems

To find a relationship between different chords and the angle they subtend at the circle’s centre, the longer chord subtends a greater angle. Similarly, at the centre, two chords of equal length subtend an equal angle.

• Theorem $1$: Equal Chords Equal Angles Theorem

Statement: Chords that are equal in length subtend equal angles at the center of the circle.

• Theorem $2$: Equal Angles Equal Chords Theorem (Converse of Theorem $1$)

Statement: If the angles subtended by the chords of a circle are equal in measure, then the length of the chords is equal.