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

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 Steps of Construction : 

1. Take arc PQ of the given circle. 

2. Take a point R on the arc PQ and draw chords PR and RQ. 

3. Draw perpendicular bisectors of PR and RQ. 

These perpendicular bisectors intersect at point O. 

Hence, point O is the centre of the given circle.

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