Question

Chord AB and chord CD of a circle with centre 0 are congruent. If m(arc AB) = 120°, then find the m(arc CD).

Answer 1

Given, Chord AB = Chord CD

m(arc AB) = 120°

We know that,

arc AB ≅ arc CD   ......[Corresponding arcs of congruent chord of a circle are congruent]

∴ m(arc AB) = m(arc CD)

120° = m(arc CD)

∴ m(arc CD) = 120°