Circles

- Chords of a circle that are equal in length subtend equal angles at the centre of the circle.

In the given figure, if AB and CD are two equal chords then ∠AOB = ∠COD

Converse of this property also holds true, which states that chords subtending equal angles at the centre of the circle are equal in length.

**Example:**

If AB and CD are equal chords of a circle then show that AD and CB are also equal.

**Solution:**

**Construction: **Let us join OA, OB,…

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