Projected LLS vs. radio power and central density. Upper panel: projected LLS vs. 944 MHz radio power of the EMU radio galaxies. The black line represents the best fit, and the blue region inside the dashed lines is the error band: log P_R = (3.12 ± 0.10)×logLLS + (17.33 ± 0.22). Lower panel: projected LLS of the radio source vs. the central density of the cluster. The data points are color-coded with the logarithmic radio luminosity in erg s⁻¹ Hz⁻¹.