Equal chord of circle subtends equal angle on centre.

Equal chords of a circle subtend equal angles at the centre.

Theorem 10.1 : Equal chords of a circle subtend equal angles at the centre

Theorem:-1If two arcs of a circle are congruent; the corresponding chord are equal and Equal chords of a circle substends equal angles at the centre.

Prove that equal chords of a circle subtend equal angles at the centre.

r : Two chords of a circle subtend equal angles at centre if and only if they are equal. Statement r can be interpreted as

prove that the line joining the mid-point of two equal chords of a circle subtends equal angles with the chord.

Equal chords of congruent circles subtend equal angles at the centre.

Equal chords of congruent circles subtend equal angles at the centre.

Recall that two circles are congruent if they have the same radil.Prove that equal chords of congruent circles subtend equal angles at their centres.

Prove that if chords of congruent circles subtend equal angles at their centres,then the chords are equal.