Suppose you are given a circle. Give a construction to find its centre.
(N/A) Steps of construction:
$I.$ Take any three points on the given circle. Let these be $A, B$ and $C$.
$II.$ Join $AB$ and $BC$.
$III.$ Draw the perpendicular bisector $PQ$ of $AB$.
$IV.$ Draw the perpendicular bisector $RS$ of $BC$ such that it intersects $PQ$ at $O$.
Thus,$O$ is the required centre of the given circle.
$I.$ Take any three points on the given circle. Let these be $A, B$ and $C$.
$II.$ Join $AB$ and $BC$.
$III.$ Draw the perpendicular bisector $PQ$ of $AB$.
$IV.$ Draw the perpendicular bisector $RS$ of $BC$ such that it intersects $PQ$ at $O$.
Thus,$O$ is the required centre of the given circle.
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