Draw a circle with center at point O. Draw its two chords AB and CD such that AB is not parallel to CD.

Steps of construction:

1. Keeping O as the centre and any radius draw a circle.

2. Draw two chords AB and CD.

3. Keeping A as center and radius more than half of AB draw arcs, one on each side of AB.

4. Keeping B as center and the same radius draw arcs cutting the previous arcs at point P and Q respectively.

5. Join the points P and Q.

6. Keeping D as center and radius more than half of DC draw arcs, one on each side of DC.

7. Keeping C as center and the same radius draw arcs cutting the previous arcs at points R and S respectively.

8. Join the points R and S.

Both the perpendicular bisectors PQ and RS intersect each other at the center O of the circle.