It is given that two circle having radii 5.5 cm and 4.2 cm touch each other externally.
We know, the distance between the centres of the circles touching externally is equal to the sum of their radii.
∴ Distance between the centres of the two circles = 5.5 cm + 4.2 cm = 9.7 cm
Thus, the distance between their centres is 9.7 cm.