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