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CBSE Class 9 Answered

The radius of a circle is 5 cm and the length of a chord in the circle is 8 cm. Find the distance of the chord from the centre of the circle.
Asked by Topperlearning User | 18 Aug, 2017, 08:56: AM
answered-by-expert Expert Answer







Radius of circle (r) = 5 cm

AB = 8 cm

OM AB

AM = MB = 4 cm [ drawn from the centre of the circle bisects the chord]

In right OMA, by Pythagoras theorem

OA2 = OM2 + AM2

52 = OM2 + (4)2

25 = OM2 + 16

OM2 = 9

OM = 3 cm

Answered by | 18 Aug, 2017, 10:56: AM

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