Translation of "Arena" in Japanese

Sometimes they sleep overnight outside the arena,

アリーナの外で ひと晩を過ごす人さえいます

As the arena full of fans cheer him on.

闘技場は 彼を応援するファンでいっぱいです

Evolution has selected the fittest. The arena has been prepared.

進化が適者を選び抜き 競技者がそろいました

So I got to the arena early in the morning the day of the show,

そこで私はショーの日 早朝に闘技場に行き