Quantitative Aptitude – Geometry – Circles – A chord of length 5 cm subtends an

Slot -2 – Quantitative Aptitude – Geometry – Circles – A chord of length 5 cm subtends an

A chord of length 5 cm subtends an angle of 60° at the centre of a circle. The length, in cm, of a chord that subtends an angle of 120° at the centre of the same circle is?

a) 6√2
b) 8
c) 4√2
d) 5√3

Answer: d) 5√3

Solution:

In triangle ODA, OA=AD cosec 30=5
So if the angle AOB is 120 degree, then angle AOD will be 120/2=60
In the case length of chord = 2×OA Sin 60=5√3

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