I believe the correct procedure, as indicated on the signs, is to enter the inside lane and stay there until your exit if you are going 3/4 or all the way around. I noticed something interesting in that picture though. There is no access on the side opposite Hillsborough, therefore there are no dashed lines between the inside and outside lanes entering BV south. This is because traffic in the outside lane would have entered from BV and has made it halfway around so should not continue towards the Hillsborough exit. Yet, there are two lanes there, so maybe what you're doing is acceptable. Still, watch out for cars in the outside lane even if they're not supposed to be there.

The picture with the hatched area inked in, is wrong.
No hatched areas would appear on a roundabout with a two lane exit off of it..
The photos are correct as each lane is hatched into a single lane as the next exit road is a single lane.
Using the correct lane discipline all should flow without any having to change lane.
Study the photo and it is very simple.

No.
At the junction you have shown, you should have stayed in, and exited from that inside lane.
The exit was a two lane road.
You can change lane to the lane of your choice after exiting roundabout

Looks like the striped area is called a " "Channelization Island."

Except the entire roundabout is one big left turn.

But if I’m going north on Morse and want to go left onto Hillsborough then I had better use the left lane. On the other hand, if I want to keep straight on Morse then I can use either lane. The sawing of the wheel to avoid the grassy area doesn’t change the fact that when I’m finally on Hillsborough I am at a compass direction of 270 degrees from my original direction (a left turn).

I know it's a pain to read through the whole thread, but the single lane exit answer was offered long ago. Thanks.

If a car wants to make a turn on the 3rd exit on the roundabout, they are supposed to stay in the left lane until they clear the 2nd exit, then immediately get in the right lane to turn. This is for a scenio that isn't pictured, but quite common, especially when exiting to a one lane exit.
Anyone entering a roundabout should watch what the traffic that is already in the roundabout is doing, no matter the markings, before entering!

I just noticed that the bottom Google Earth photo shows that the inside lane has only left markers. Does this mean that one you enter this lane you can't leave it? You just keep going round and round and round! 🤪
Seriously, you should look at the green signs before entering
the roundabout and only changes lanes within the roundabout when there are dotted line.

To create confusion so that when you get into an accident, you can call Dan Newlin, Morgan and Morgan, name your attorney to represent you if you are injured. Roundabouts are a cluster .... in TV and very confusing. Full disclosure, I would rather have them than traffic lights or stop signs.

Posted above note before reading all of the other posts. After trying to read thesee comments only re inforced my opinion that the roundabouts are a cluster(you know what)

Also when working I investigated auto accidents for insurance companies. Bet there is a lot of he said/she said arguments.

I did read the thread and as so many answers regarding the single lane exit were wrong, and some pure speculation.
That is why I posted.
I reckon something like 80+% haven't a clue as to the correct procedure in a roundabout.
It's a just a junction and the same disciplines apply as for any two lane highway.
So simple!

Or simply put READ THE SIGN.

NO! This will cause an accident!

If you are going to take the third exit then enter on the inside lane, stay in that lane until the third exit, then exit into the left lane of the road you are turning onto.

If the road at the third exit has only a single lane then there ought to be markings in the roundabout to direct you to the single lane that exits onto that road.

In the case where there is a single-lane exit but no markings (Hillsborough across Morse onto Moyer Loop) then you should have seen the correct pattern on the green sign before entering the roundabout.

As many have posted before, pay attention to the green signs -- they are there for a reason!

Good answer - I would add that when exiting into the left lane of the road you're turning into, beware of anyone in the outside lane who wants to T-bone you.

I think it is a place to pull into when you get real confused going round and round too many times. What we call in the northeast a "breakdown lane".