Go chop something and find out! The edge doesn't have to be as delicate as a SAK or other small knife...and axe is made for heavy use...if it pops branches off a downed tree with one quick wrist snap I'd say it's sharp.
Angle grinder sometimes can get a little agressive for me I occasionally use one when edge is bad ex. like the new axe you got then mantain it with a good mill file