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

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Geometry – Circles – A chord of length 5 cm subtends an…. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

## CAT 2018 – Slot -2 - Question 2 - A chord of length 5 cm subtends an

##### Q. 2: 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
1. 8
2. 6√2
3. 5√3
4. 2

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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