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Question -

Find the length of a chord which is at a distance of 4 cm from the centre of the circle of radius 6 cm.



Answer -

Given that   and  , find the length of chord AB.
Let AB be a chord of a circle with centre O and radius 6 cm such that
 
We draw  and join OA.
Since, the perpendicular from the centre of a circle to a chord bisects the chord.
Now in  we have
 
Hence the length of the chord is 8.94 cm.

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