If you want to do more than just going out for an easy run there are some good options available.
A short trip away you can find the track Tokyo Metropolitan Gymnasium that should be open to the public and those looking for a hill workout can go to Around the Emperors palace or Around Akasaka Palace.
Around the Emperors palace is a popular place to run in this area.
Those looking for an easy run on a flat course with firm surface and are willing to go a bit outide of Chiyoda can go to Meguro River.
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