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Question:

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

Solution:

  1. Let us consider any three points P, Q and R on the circumference of the circle.
  2. Make chords PQ and QR by joining P, Q and R.
  3. Draw AB and CD, the perpendicular bisectors of PQ and QR. They will intersect each other at O.
  4. O will be the center of the circle.