Question

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

Answer 1

Answer:

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.

Answer 2

$\huge \underline \mathbb {SOLUTION:-}$

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.