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to surround; to encircle; to enclose
報道陣が政治家を取巻いて質問を浴びせた。
Reporters surrounded the politician and bombarded him with questions.
子どもたちが人気の芸人を取巻いて離れない。
The children crowded around the popular entertainer and would not leave.
教育を取巻く環境は近年大きく変化している。
The environment surrounding education has changed greatly in recent years.