This is the 3198th most frequent Japanese word.
回る
"To turn," "to rotate," or "to go around."
Here, "回る" (mawaru) is used in the sense of "to go around" or "to circle" something physically.
彼は公園を一周回った。
He walked one round around the park.
In this case, "回る" (mawaru) conveys the motion of something figuratively turning or circling, indicating thoughts revolving in the mind.
難問が頭の中でぐるぐる回る。
The difficult problem is going round and round in my mind.
Here, "回る" (mawaru) is used to describe a figurative 'roundabout' manner of something, here referring to a conversation or explanation.