Q2 of 29 Page 61

The radius of a circles 17 cm and the length of one of its chord is 16 cm. Find the distance of the chord from the centre.

In the given figure:


Radius AB = 17cm


Chord CD = 17cm


Now we draw a perpendicular bisector of CD from A which is AB


Hence CE = DE = 8cm


We have to find the distance of chord from centre i.e. AE


In the triangle ACE


AC2 = AE2 + EC2


Therefore AE2 = 172– 82


AE2 = 225


AE = 15cm


Hence the distance of chord from the centre is 15cm


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1

The radius of a circle is 15 cm and the length of one of its chord is 18 cm. Find the distance of the chord from the centre.

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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.

 4

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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Find the length of a chord which is at a distance of 15 cm from the centre of a circle of radius 25 cm.