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SSC CGL 2022 PYQ — Question 58

SSC CGL - 01 Dec 2022 - Shift 1 • Quantitative Aptitude • Q58

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The radius of a circle is 10 cm. The angle made by chord AB at the center of this circle is 60 degrees. What is the length of this chord?

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 10 cm.

OA = OB = 10 cm

ΔOAB is an isosceles triangle.

So, ∠OAB = ∠OBA = (180−60)∘2\frac{(180-60)^{\circ}}{2} = 60° 

Since ∠OAB = ∠OBA = ∠OAB = 60°, ΔOAB is an equilateral triangle.

So, OA = OB = AB = 10 cm

The length of the chord is 10 cm.