  We present radio observations at frequencies ranging from 240 to 8460 MHz of
the radio galaxy 4C29.30 (J0840+2949) using the Giant Metrewave Radio Telescope
(GMRT), the Very Large Array (VLA) and the Effelsberg telescope. We report the
existence of weak extended emission with an angular size of $\sim$520 arcsec
(639 kpc) within which a compact edge-brightened double-lobed source with a
size of 29 arcsec (36 kpc) is embedded. We determine the spectrum of the inner
double from 240 to 8460 MHz and show that it has a single power-law spectrum
with a spectral index of $\sim$0.8. Its spectral age is estimated to be
$\lapp$33 Myr. The extended diffuse emission has a steep spectrum with a
spectral index of $\sim$1.3 and a break frequency $\lapp$240 MHz. The spectral
age is $\gapp$200 Myr, suggesting that the extended diffuse emission is due to
an earlier cycle of activity. We reanalyse archival x-ray data from Chandra and
suggest that the x-ray emission from the hotspots consists of a mixture of
nonthermal and thermal components, the latter being possibly due to gas which
is shock heated by the jets from the host galaxy.
