Suppose you are given a circle. Give a construction to find its centre.
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Take points P, Q, R on the circle.
Join PR and RQ. ...
Take a compass. ...
Join the points intersected by the arcs. ...
Take a compass. ...
Join the points intersected by the arcs. ...
The point where the two perpendicular bisectors intersect is the centre of the circle.
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The construction steps to find the center of the circle are:
Step I: Draw a circle first.
Step II: Draw 2 chords AB and CD in the circle.
Step III: Draw the perpendicular bisectors of AB and CD.
Step IV: Connect the two perpendicular bisectors at a point. This intersection point of the two perpendicular bisectors is the centre of the circle.
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