Amager Fælled is a popular place to run in this area.
Summer on the other hand should be more pleasant with daily max temperatures at around 21°C70°F.
May might be one of the most pleasant months for running in Denmark. The temperature usually ranges from about 10°C49°F to 15°C59°F, the wind averages 5.8m/s13.1mph and the daily precipitation is 2 mm0.1 inches.
More detailed information about the weather in Denmark can be found on the page for each city.
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