Ina circle of radius 17 cm a chordis at a distance of 8 cm from the centre of the circle What is the...........

Quantitative Aptitude (CGL) Geometry

Ina circle of radius 17 cm, a chordis at a distance of 8 cm from the centre of the circle. What is the length of the chord?

This questions was previously asked in

SSC CGL 13 June 2019 Shift-2

20 cm

15 cm

25 cm

30 cm

Let O be the centre of the circle and BC be the chord.
AO = 8 cm
OB = 17 cm
OA is perpendicular to BC and it bisects BC into equal halves.

Using Pythagoras theorem ,
AB = 15 cm
BC = 30 cm
So , the answer would be option d)30 cm.

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