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SSC CGL 2026 PYQ — Question 29

SSC CGL Tier II - 19 Jan 2026 - Shift 1 • Quantitative Aptitude • Q29

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If a chord of a circle subtends an angle of 60° at the circumference of the circle, then what is the ratio of the radius of the circle and the length of the chord respectively?

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 1 : √3.

Let the radius = R

Chord length =2Rsin⁡60°=2R⋅32=R3= 2R \sin 60° = 2R \cdot \frac{\sqrt{3}}{2} = R\sqrt{3}

Radius : Chord = R : R√3 = 1 : √3