6" is a large front pad for a black bear & likely 6 to 7'.

We were after a big one near Babine Lake one fall I was guiding some German Lads. 7 1/4" across the front pad. I took a picture of it with one of my .458's laying in the depression.

I tried calling him in with a predator call, squealing hare, but didn't work.
The hunters complained to the guide and outfitter I was placing them into danger, so I was assigned a different hunter.
The next day, the German fellow shot the 2-footer (that's what we call a 2 to 3 year old cub) that I wouldn't let him shoot as it was "too small". Not only that, he gut shot it & the outfitter had to go after it later that afternoon with his Austrian tracking hounds & finished it off with his .338. Poor little guy was pretty sick and feeling sorry for itself, so holed up in a small willow bush. The wound was nasty & opened up his belly a bit, but nothing hanging out. It would have been fatal from infection, I guess.
The hunter was happy, got his "Big Black Bear".
It might have squared 4 1/2feet.