Drawn describes the look of someone who is tired, overworked, or ill. People will worry about you if your face looks drawn every morning because you stay up so late doing homework.
The adjective drawn comes from the Old English verb dragan, which means to pull or to drag. Dragan is also the root for the artistic sense of the verb "draw," but drawn doesn't describe art. It can mean pulled closed, however. The drawn drapes keep your room so dark that it's always dark as night in there, which is good for sleeping, but bad when you have to get up early for school.