Question

cord at a distance of 5cm from the centre of a circle of radii 13cm find the length of cord
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Answer 1

Answer:

65 is the correct answer

Answer 2

Answer:

Let AB be a chord of a circle with centre O and radius 13 cm. Draw OL ⊥ AB.

Join OA. Clearly, OL = 5 cm and OA = 13 cm.

In the right triangle OLA, we have

OA^2 = OL^2 + AL^2

⇒ 13^2 = 5^2 + AL^2

⇒ AL^2 = 144 cm^2

⇒ AL = 12 cm

Since, the perpendicular from centre to the chord bisects the chord. Therefore,

AB = 2AL = 2 x 12 cm = 24 cm.

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