The only country in Asia that extends above the arctic circle is Russia. There are five European countries that go that far north as well.
Russia
Alaska
Canada
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Four European countries extend beyond the Arctic Circle. They are Finland, Norway, Sweden and Russia. Iceland also extends above the Arctic Circle and is often considered a European nation.
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Greenland is on the Arctic Circle, Iceland is near it.
The more populated parts of Canada are well below the Arctic Circle, but parts of Canada are above the Arctic Circle.