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The radius of a circle is 5 cm and length of chord in the circle is 8 cm . Find the distance of the chord from the centre of the circle

Posted by Sakuntala Sharma 8 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Naveen Sharma 8 years, 9 months ago

Ans. Let O is center of circle. AB is chord.

So OA is radius. Draw OM perpendicular to AB.

We Know perpendicular from center to the chord bisects it.

So AM = 4cm

Now, In triangle OAM

=> OA² = AM² + OM² .....(Using Pythagoras)

=> 25 = 16 + OM²

=> OM²= 9

=> OM = 3

Distance of chord from center is 3 cm

1Thank You

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