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SSC CGL 2021 PYQ — Question 59

SSC CGL - 17 Aug 2021 - Shift 3 • Quantitative Aptitude • Q59

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In a circle, a ten cm long chord is at a distance of 12 cm from the centre of the circle. Length of the diameter of the circle (in cm) is:

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Correct answer: C

Explanation

 The correct answer is Option 3 i.e ​​​​​​26.

Here OB = radius of a circle also the hypotenuse of a right-angle triangle.

By using Pythagoras one gets,

OB2 = 122 + 52.

OB = 13.

The diameter of the circle = 2 × 13 = 26 cm.