You can't remove what's commited to subversion other than completely dump, erase the original, and recreate the repository from the dump.
If you want to completely remove a file/path, you can do that with the svndumpfilter:
svnadmin dump /path/to/repository > svndump
svndumpfilter exclude path/to/sensitivefile > svndump-excluded
svnadmin create /tmp/newrepository
svnadmin load /tmp/newrepository < svndump-excluded
Then backup your /path/to/repository and replace it with /tmp/newrepository after you've verified everything is ok.
If you want to only exclude a single revision, you'd have to do something like
svnadmin dump -r 0:1000 /path/to/repository > svndump1
svnadmin dump -r 1002:HEAD --incremental /path/to/repository > svndump2
svnadmin create /tmp/newrepository
svnadmin load /tmp/newrepository <svndump1
svnadmin load /tmp/newrepository <svndump2
That is, revision 1001 is excluded. You can't do it more fine grained btw, a whole revision have to be excluded. Same deal here, backup your original repository, verify that everything needed in the new repository is there.