Q3 of 29 Page 61

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.

The figure is given below:



CD = 20cm = length of chord


AE = 24cm = distance of chord from centre


From Theorem: A circle with radius r and a chord of length l which is at distance d from the centre, follows the equation,



From here we get,


r2 = 100 + 576 = 676


r = 26cm


Hence radius is 26cm.


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A chord is 8 cm away from the centre of a circle of radius 17 cm. Find the length of the chord.

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