The map above shows how far out from London you have to go before you get 50% of the UK population (not including the French of course).
The map was created by @election_data who state that:
There so some sensitivity depending on where the line cuts across Birmingham and Bristol but 10km either side of this line gets 49-51% roughly
Moreover, 20% of UK population live within 50 km of London and 33% within 100 km.
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