It might be borderline tight on the long ends. Rule of thumb I've heard is 3 feet on each side. If you have 10 feet and the table is five feet, you only have 2.5 feet on each side. I haven't done the geometry, but could round work since you have a evenly dimensioned room.

It sounds as though your table will fit, but as I'm not clear on which wall is where, let me suggest that you measure carefully. If your chairs, as you say, are not bulky, then you'll need 30" of space between the table and the wall where there is no real traffic pattern, allowing someone to squeeze in and out behind a chair where someone is seated during dinner. But if there is major traffic between the table and the wall, 36" will be required, with the chair pushed part way in with someone seated on the chair. Try these measurements and see if you can navigate around

the table with the chairs in use by friends or family at dinner.