  We present 15-GHz Karl G. Jansky Very Large Array observations of a complete
sample of radio galaxies selected at 15.7 GHz from the Tenth Cambridge (10C)
survey. 67 out of the 95 sources (71 per cent) are unresolved in the new
observations and lower-frequency radio observations, placing an upper limit on
their angular size of ~2 arcsec. Thus compact radio galaxies, or radio galaxies
with very faint jets, are the dominant population in the 10C survey. This
provides support for the suggestion in our previous work that low-luminosity
($L<10^{25} \, \textrm{W Hz}^{-1}$) radio galaxies are core-dominated, although
higher-resolution observations are required to confirm this directly. The 10C
sample of compact, high-frequency selected radio galaxies is a mixture of
high-excitation and low-excitation radio galaxies and displays a range of radio
spectral shapes, demonstrating that they are a mixed population of objects.
