Go right and then go around the roundabout.
I'm sitting at an intersection trying to go left, but with the intention to turn right and 180 around the roundabout; behind someone who also wants to go left but would rather wait for an opening in both directions of traffic.
People are idiotic; traffic systems should, ideally, account for and mitigate this idiocy as much as possible. That's why streets with a impassible divider in the middle exist.
On the walk/bike angle: my vague recollection is that the Not Just Bikes Youtube channel has some recordings of roundabouts that work pretty well for non-drivers, but I can't remember specifics. Maybe just heavy prioritization of those users over drivers.
It's a pretty bike friendly town though, so people here watch out. I probably wouldn't try that in a more urban city.
Additionally, you're dealing with the effects that I outlined earlier in the paragraph, but at every single intersection; oftentimes, and especially at intersections where one direction of travel (say North-South) is significantly more popular than the other (e.g. West-East), traffic basically never stops because there's little crossing-traffic to stop drivers from entering the intersection for even a second; and drivers are not required to yield to pedestrians. You start forming prejudices against car brands real quick walking around cities like these ("ope, BMW, no way he'll let me go").
My shadow theory is: people overwhelmingly associate roundabouts as being better for pedestrians because of an unrelated knock-on effect: Cities which invest in roundabouts generally have more money than cities who don't, and cities which have more money are also likely to independently invest in dedicated pedestrian infrastructure, like dividers and rail trails. Roundabouts might be safer for pedestrians, because I'd guess that many pedestrian deaths are the result of cars running red lights, and that's just physically more difficult to do with a roundabout; that's only one component of "better" though, and even then I struggle to find a better data-backed source for that intuition than "some academic or city planner said they're safer for pedestrians".
Where I grew up, if a car is stopped in front of a pedestrian crossing, not stopping next to it gets you a pretty hefty fine. Every few years the police have a big public service announcement campaign about it, then focus on giving fines for it in some of the more risky locations.
Roundabouts are better when they are not the multi-lane monsters US tends to build.
https://www.carmel.in.gov/government/departments-services/en...
https://www.iihs.org/topics/roundabouts (ctrl f pedestrian)
A "roundabout" is a kind of intersection. One characteristic intersections generally have is that traffic should not stop upon entering the intersection. The picture you've linked is a circular road, with a half-dozen or so individual signaled intersection along it.
While roundabouts do have center islands, sometimes even with sidewalks, pedestrians generally are not expected to ever walk there. For the same reason as outlined in the previous paragraph: getting pedestrians safely to the center island would require interrupting the flow of traffic inside the intersection. Walking by some roundabouts with built-up center islands, I sometimes wonder how long someone could camp out in the thicket without ever coming within 20 feet of another human on foot; the islands are no-man lands, very unlike the satellite image you link.
I can reasonably envision a pedestrian signaled roundabout, where the crosswalks at the entrances and exits to the roundabout are all signaled. I have not, to my memory, ever seen one. And, again, I think the reality of their rarity speaks to my original point that pedestrians are, as in all US traffic design, always an afterthought.
There are actual roundabouts in DC, but typically they don't have names.
I was in London area in the early 90's and they had stoplights at roundabouts that were high volume. If I remember right, a person told us the lights are only used at certain times of the day.