Question

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

Answer 1

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Answer 2

Given : Suppose you are given a circle.  

Steps of construction to find its centre are as follows :  

 (1). Take three points P, Q and R on the circle.

 (2) . Join PQ and QR.

 (3) .  Draw MT and NS , which are respectively the perpendicular bisectors of PQ and RQ and intersecting each other at a point O.

Hence, O is the centre of the circle.

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