The Collaborative International Dictionary of English v.0.48:

Perambulate \Per*am"bu*late\, v. t. [imp. & p. p.
   Perambulated; p. pr. & vb. n. Perambulating.] [L.
   perambulatus, p. p. of perambulare to perambulate; per
   through + ambulare to walk. See Per-, and Amble.]
   To walk through or over; especially, to travel over for the
   purpose of surveying or examining; to inspect by traversing;
   specifically, to inspect officially the boundaries of, as of
   a town or parish, by walking over the whole line.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Perambulate \Per*am"bu*late\, v. i.
   To walk about; to ramble; to stroll; as, he perambulated in
   the park.
   [1913 Webster]

WordNet (r) 3.0 (2006):

perambulate
    v 1: make an official inspection on foot of (the bounds of a
         property); "Selectmen are required by law to perambulate
         the bounds every five years"
    2: walk with no particular goal; "we were walking around in the
       garden"; "after breakfast, she walked about in the park"
       [syn: perambulate, walk about, walk around]

Moby Thesaurus II by Grady Ward, 1.0:

51 Moby Thesaurus words for "perambulate":
   ambulate, ankle, circumambulate, course, cover, do, foot, foot it,
   go over, hoof it, jaywalk, jog on, leg, leg it, measure, overpass,
   pace, pad, parade, pass over, pass through, patrol, pedestrianize,
   peregrinate, pererrate, peripateticate, ply, promenade, range,
   range over, reconnoiter, scour, scour the country, scout,
   shuffle along, step, stretch the legs, stride, stump it, sweep,
   take a stretch, take a walk, track, traipse, transit, travel over,
   travel through, traverse, tread, voyage, walk