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"Seagulls wheeled around overhead."
"Seagulls wheeled overhead."
Is one of them wrong? Or are they both correct, but very different?
It sounds odd to me. Birds don't have wheels. I would say they were circling around.
I would think of "wheeling around" like cruising in my car.
I have absolutely no problem with the idea of birds wheeling around. I don't think it suggests they are going round in circles - that would be circling. For me, it simply suggests a flock of birds who are flying about within a limited area but without landing and without any particular purpose.
I consider it to be the same as a group of youths on bicycles loitering around outside a closed shopping mall in the evening (just an example). They ride their bikes randomly, not in a particular direction and with no purpose but, to me, they are "wheeling around".
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.