Find the length of a chord which is at a distance of 15 cm from the centre of a circle of radius 25 cm.
The figure is given below:

AE = 15cm
AB = AC = 25cm
From Theorem: A circle with radius r and a chord of length l which is at distance d from the centre, follows the equation,
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Here d = 15cm and r = 25cm
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l = 40cm
Hence the length of the chord is 40cm.
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