I was a backyarder (though outside city limits). Just moved on to 12 acres in a more rural part of the county. Don't know if I'd be considered a farmer though -- only horses, chickens,ducks and a household garden here.
I think I count as backyard?
I am just outside city limits on 1.2 acres. We have a big garden (okay TWO big gardens) and the chickens... but we don't sell anything but surplus eggs. So we resemble a farm on a small scale.
I assume I'm a backyarder, since my animals are on a small scale. Although I have land and I'm WAY out in the country, surrounded by farms. But I don't have a big barn, horses, etc., and I don't sell anything or produce anything other than what I produce for myself (eggs, garden, etc).