Maths / Circles / Equal Chords of a Circle Subtend Equal Angle at the Centre

QUESTION
 
In the given figure, if O is the centre of the circle, large angleAOB = large angle EOF = large angle COD = 60^0 and AB = 4 units, find EF + CD.

 

EXPLANATION
Explain TypeExplanation Content
Text

O is the centre of the circle.

large angleAOB = large angle EOF = large angle COD = large 60^0 and AB = 4 units (Given)

Here, large angleAOB = large angle EOF = large angle COD

Therefore, AB = EF = CD = 4 units [ If the angles subtended by two chords of a circle at the centre are equal then the chords are alos equal]

Thus, EF + CD = 4 units + 4 units = 8 units.

 

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