Question

el. Prove that equal chord, subtends equal angles at the
Centre.​

Answer 1

Answer:

Step-by-step explanation:

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

Given : AB and CD ARE CHORDS

            AB = CD    

RTP :  ∠AOB = ∠COD

PROOF :

IN Δ AOB and ΔCOD ,

AO = CO ( RADIUS )

OB = OD ( RADIUS )

AB = CD ( GIVEN )

∴ ΔAOB ≅ ΔCOD [SSS]

⇒ ∠ AOB = ∠COD ( CPCT )

HENCE EQUAL CHORDS OF A CIRCLE SUBTENDS EQUAL ANGLES AT THE CENTRE

please refer to the below diagram