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

Question:

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

Solution:

Steps of Construction:

(1) Take three points A, B and C on 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 centre of the circle because we know that the perpendicular bisector of the chord always passes through the centre.

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