Madhya Pradesh Police Exam Model Paper 8

Question : 89 of 100

Marks: +1, -0

In a circle with radius 5 cm, a chord is at a distance of 3 cm from the centre. The length of the chord is:

Solution:

Tips & Tricks
Radius of circle OA = 5 cm
Let the length of the chord be AB
OP = 3 cm
As we know,

\OA^2 = \OP^2 +\AP^2

⇒ 52 = 32 + \AP^2

⇒ \AP^2 = 25 – 9 = 16

⇒ \AP = √16 = 4 cm

⇒ \AB = 2\AP = 2 × 4 = 8

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