Senator Rand Paul, Republican of Kentucky, has tested positive for coronavirus, his office announced in a statement on Sunday. He is the first senator and the third member of Congress to test positive.

Mr. Paul “is asymptomatic and was tested out of an abundance of caution due to his extensive travel and events,” his office said on Twitter, and he has since self-quarantined. His Washington office began operating remotely 10 days ago, the statement said, and “hence virtually no staff has had contact” with him. The statement did not detail how long Mr. Paul had been in quarantine.

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