the two chords AB and CD of a circle are at equal distance from the centre O. if angle angle AOB= 60° and CD=6 cm. then calculate the length of the radius of the circle
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Answer:
The value of ∠COD= 60°
Step-by-step explanation:
Given: AB= CD and ∠AOB=60°
To find: ∠COD
In the attached figure
Consider Δ AOB and ΔCOD
AO=OC (Radius of circle)
BO=OD (Radius of circle)
AB=CD (Given)
Therefore
Δ AOB ≅ ΔCOD (Side-Side-Side criteria)
Hence
∠COD=∠AOB =60° (Corresponding Parts of Congruent Triangles)
hope this helps you
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