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Angle Subtended at Centre – Theorem on Circles CBSE ICSE Class X

Angle Subtended at Centre – Theorem on Circles CBSE ICSE Class X

Angles Subtended at Centre  – Theorem on Circles CBSE Class IX ICSE Class X   –  Theorem 5 – Equal chords of a circle subtend equal angles at the centre by Ankit Mahajan for SuccessCDs Education Channel.

Given :Circle with Centre O  , AB = CD

To Prove :AOB = COD

Const: Join OA, OB, OC, OD

Proof : In ΔAOB & ΔCOD
OA = OC  (Radii of same Circle)
OB = OD

AB =  (eq. chords)
ΔAOB is congruent to ΔCOD (SSS Congruency)
BY CPCT
AOB =COD

Hence Proved!

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