Given an arc of a circle, show how to complete the circle.
Steps of construction:
(i) Take three points A, B and C on the given arc
(ii) Join AB and BC
(iii) Draw the perpendicular bisectors of chord AB and BC which intersect each other at point O. Then, O will be the required centre of the required circle.
(iv) Join OA
(v) With centre O and radius OA, complete the circle