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Question -

Two chords AB, CD of lengths 5 cm, 11 cm respectively of a circle are parallel, If the distance between AB and CD is 3 cm, find the radius of the circle.



Answer -

Let AB and CD be two parallel chord of the circle with centre O such that AB = 5 cm and CD = 11 cm. let the radius of the circle be  cm.

Draw   and  as well as point O, Q and P are collinear.
Clearly, PQ = 3 cm
Let   then  
In   we have
…… (2)
From (1) and (2) we get
Putting the value of x in (2) we get,

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