LWP::UserAgent and redirected page responses

Hello. This concerns LWP::UserAgent. If a request is sent to a certain
web site, the response in the browser comes back as a completely
different domain and site due to redirection. How do I find out, from
the UserAgent module, what the redirected url is? A uri() method as in
WWW::Mechanize seems like a good candidate but when checked the uri()
method seems to return the original request uri, not the redirected
one. I need to know exactly what would be in the url box of a web
browser after the redirected response happens. Anyone know how to do
this? I will post code if requested.