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We present measurements of the radial gravitational acceleration aroundisolated galaxies, comparing the expected gravitational acceleration given thebaryonic matter with the observed gravitational acceleration, using weaklensing measurements from the fourth data release of the Kilo-Degree Survey.These measurements extend the radial acceleration relation (RAR) by 2 decadesinto the low-acceleration regime beyond the outskirts of the observable galaxy.We compare our RAR measurements to the predictions of two modified gravity (MG)theories: MOND and Verlinde's emergent gravity. We find that the measured RARagrees well with the MG predictions. In addition, we find a difference of atleast $6\sigma$ between the RARs of early- and late-type galaxies (split byS\'{e}rsic index and $u-r$ colour) with the same stellar mass. Current MGtheories involve a gravity modification that is independent of other galaxyproperties, which would be unable to explain this behaviour. The differencemight be explained if only the early-type galaxies have significant ($M_{gas}\approx M_*$) circumgalactic gaseous haloes. The observed behaviour is alsoexpected in $\Lambda$CDM models where the galaxy-to-halo mass relation dependson the galaxy formation history. We find that MICE, a $\Lambda$CDM simulationwith hybrid halo occupation distribution modelling and abundance matching,reproduces the observed RAR but significantly differs from BAHAMAS, ahydrodynamical cosmological galaxy formation simulation. Our results aresensitive to the amount of circumgalactic gas; current observationalconstraints indicate that the resulting corrections are likely moderate.Measurements of the lensing RAR with future cosmological surveys will be ableto further distinguish between MG and $\Lambda$CDM models if systematicuncertainties in the baryonic mass distribution around galaxies are reduced.

The Weak Lensing Radial Acceleration Relation: Constraining Modified Gravity and Cold Dark Matter theories with KiDS-1000