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Suppose you are given a circle. Give a construction to find its centre.

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Steps of construction : 

(i) Take three points A, B and C in the given circle. 

(ii) Join AB and BC 

(iii) Draw the perpendicular bisector of chord AB and BC which intersect each other at O 

(iv) Point O will be the required centre of the circle because 

We know that, 

The perpendicular bisector of the chord always passes through the centre.

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