Trace the circular disc on a paper and then:
Step 1: Cut out the circle on the paper.
Step 2: Fold the cut out circle in half.
Step 3: Fold the semicircle in half again.
Step 4: Unfold the paper back again into the circle.
Step 5: Find the point at which the crease of the two folds on the paper meet.
The point where the folds meet is the centre.
Now, Ramesh can use the paper centre to mark the centre of the disc. Then he can balance the disc on his finger.