The formula of a circumference is:
[tex]C=2\pi r[/tex]
r - radius
or
[tex]C=d\pi[/tex]
d - diameter
We have d = 12cm. Substitute:
[tex]C=12\pi\ cm[/tex]
One-fourth of the circumference:
[tex]\dfrac{1}{4}C=\dfrac{1}{4}\cdot12\pi=3\pi\ cm\approx3\cdot3.14=9.42\ cm[/tex]