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

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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