The length of the circumference is (being [tex]d[/tex] the diameter, and using 3.14 for [tex]\pi[/tex]):
[tex]L = 2 \cdot r \cdot \pi = d \cdot \pi = 4 \cdot \pi \text{ cm} = 12.56 \text{ cm}[/tex]
The perimeter of the hexagon is 12 cm.
Hence, the circumference is 0.56 cm longer than the perimeter of the hexagon.