In a circle of diameter 20 cm chords AB and CD are parallel to each other BC is diameter If AB is 6 ...........

Quantitative Aptitude (CGL) Geometry

In a circle of diameter 20 cm, chords AB and CD are parallel to each other. BC is diameter. If AB is 6 cm from the centre of the

circle, what is the length (in cm) of the chord CD?

This questions was previously asked in

SSC CGL 13th April 2022 Shift-1

- The circle has a diameter of 20 cm, so the radius is 10 cm.

- AB and CD are parallel chords. Their distance from the center determines their length.

- AB is 6 cm from the center. Using the Pythagorean theorem, the length of AB can be calculated as:

AB = 2\sqrt{10^2 - 6^2} = 2\sqrt{64} = 16 \text{ cm}

- CD lies on the opposite side but will be equidistant from the center due to symmetry.

- Therefore, the length of CD is also 16 cm.

- In the options provided, the chord CD is best described by Option 2: 16.

- Correct Answer: Option 2 is correct.

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