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Question

A chord of length 20 cm is drawn at a distance of 24 cm from the centre of a circle. Find the radius of the circle.

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Solution

Here, AB = 20cm and OC = 24cm

Now,

AC=CB=AB2=10cm (perpendicular drawn from centre of the circle to the chord,bisects the chord)


Then using Pythagorean Theorem:

OA=(AC2+OC2)=(102+242)=676=26


702831_619159_ans_80b242341a9f4affbd0eb9593e04b7bf.PNG

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