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

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Steps of constructions: 

(1) Take three point A, B and C the given circle 

(2) Join AB and BC 

(3) Draw the perpendicular bisectors of chord AB and BC which intersect each other at O. 

(4) Point O will be the required center of the circle because we know that the perpendicular bisector of the cord always passes through the center

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