黑眼圈多半出现在眼睛下方，所以“有黑眼圈”就可以说成have dark circles under one's eyes。

例句：

John is so tired that he has dark circles under his eyes.

约翰太累了，都有黑眼圈了。

- Don't stay up late. You have already had dark circles under your eyes.

-别再熬夜了，你都有黑眼圈了。

- But I have to finish this report before Friday.

-但是我得在周五之前完成这份报告。

“黑眼圈”表达中的circles还可以换成rings，即have dark rings under one's eyes。