Perambulate
Definition: to travel through; to make an official inspection on foot
“Ambulate” means walk. “Per” is a prefix meaning “through.” So to perambulate something is to walk through it. And I suppose people often walk through something to inspect it.
Why I Looked It Up
From Kingmakers:
He courted ridicule with this celebrated habit of perambulating with his wife, Catherine, on the Haymarket, trolling for prostitutes whose salvation they sought.
Postscript
Added on
In Once Upon a Tome I found this:
…guests were often left to circumperambulate in a nervous manner…
I looked it up.
to walk or go about or around, esp. ceremoniously