We present 21 new radio-continuum detections at catalogued planetary nebula ( PN ) positions in the Large Magellanic Cloud ( LMC ) using all presently available data from the Australia Telescope Online Archive at 3 , 6 , 13 and 20 cm .
Additionally , 11 previously detected LMC radio PNe are re-examined with 7 detections confirmed and reported here .
An additional three PNe from our previous surveys are also studied .
The last of the 11 previous detections is now classified as a compact H ii region which makes for a total sample of 31 radio PNe in the LMC .
The radio-surface brightness to diameter ( \Sigma –D ) relation is parametrised as \Sigma \propto { D ^ { - \beta } } .
With the available 6 cm \Sigma – D data we construct \Sigma – D samples from 28 LMC PNe and 9 Small Magellanic Cloud ( SMC ) radio detected PNe .
The results of our sampled PNe in the Magellanic Clouds ( MCs ) are comparable to previous measurements of the Galactic PNe .
We obtain \beta = 2.9 \pm 0.4 for the MC PNe compared to \beta = 3.1 \pm 0.4 for the Galaxy .
For a better insight into sample completeness and evolutionary features we reconstruct the \Sigma – D data probability density function ( PDF ) .
The PDF analysis implies that PNe are not likely to follow linear evolutionary paths .
To estimate the significance of sensitivity selection effects we perform a Monte Carlo sensitivity simulation on the \Sigma – D data .
The results suggest that selection effects are significant for values larger than \beta \sim 2.6 and that a measured slope of \beta = 2.9 should correspond to a sensitivity-free value of \sim 3.4 .