Calm and unhurried; composed and leisurely (often used adverbially).
彼は試合の日でも悠々と構えていた。
He remained calm and composed even on the day of the match.
休日は悠々と散歩するのが好きだ。
I like to take leisurely walks on my days off.
上司は会議中も悠々としていて、場の雰囲気を崩さなかった。
The boss stayed calm during the meeting and didn't disturb the atmosphere.
Easily; comfortably; with room to spare (used to say something is done without difficulty).
彼は試験に悠々合格した。
He passed the exam easily.
準備万端で、期限には悠々間に合うだろう。
With everything prepared, you'll comfortably make the deadline.
重い荷物を持ちながらも、彼女は悠々と階段を上った。
Even carrying heavy luggage, she climbed the stairs with ease.
Vast, distant, or boundless; suggesting an expansive or seemingly endless extent (often literary).
夜空には悠々とした星々が瞬いていた。
The night sky was dotted with distant, serene stars.
悠々と続く大海原を見て、彼は言葉を失った。
Seeing the vast, endless sea, he was left speechless.