I have seen curves done in the older victorians in SF using 5/16" oak strip. They would rip it into 1/4" widths and bend it aound and then face nail it. It looked to me, well, kinda stupid as it didn't match the 2" widths at all. When I'm asked to go around a radiused bottom step with a border, I'll take wide stock and cut curves to the width of the flooring I'm using, typically 2&1/4"
And I don't think this hallway is inside a round house. Just a curved hallway. Framing is quite simple actually as the foundation isn't round or anything unusual. Once the plywood subfloor (or slab) is done, one simply uses a string and a nail to make a large arc and then shorten the string by the width of the hallway (4 ft) and you have the layout for the hallway walls. The 64 dollar question answer. You can either head it of in a doorway OR stair step back the joints as they tie into the straight pieces. Doesn't sound like it would be difficult. Envision a circle with the numbers of a clock in postion. 1,2,3,4,etc. If you drew your arc and had it terminate at any 1/4 mark, you would be able to come of the mark with a straight line. Basically a large 90 degree angle with a radiused inside curve. That's how I see it.
NOTE* This is where Chuck will use complex terminology and advanced algebra to to explain a simple geometric idea.