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Question -

The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smaller chord is at a distance of 4 cm from the centre, what is the distance of the other chord from the centre?



Answer -

Let AB and CD be two parallel chord of the circle with centre O such that AB = 6 cm, CD = 8 cm and OP = 4 cm. let the radius of the circle be  cm.
According to the question, we have to find OQ
Draw   and  as well as point O, Q, and P are collinear.
Let  
Join OA and OC, then
OA = OC = r
Now  and  
So, AP = 3 cm and CQ = 4 cm
In  we have
And in  
 
 

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