Caveat: this is for simple, single-lane roundabouts. Multi-lane roundabouts are gnarly for cars and worse for cyclists.
Here is an example of the kind of thing I had in mind: https://maps.app.goo.gl/mexZWJ9ZP1yvEJ7k7
As you can see, they are building a pedestrian overbridge on the north side, but consider what you would have to do to traverse in any other place as a pedestrian (or get across anywhere currently). Here's a suggestion from Google (i.e. just pretend you're a car): https://maps.app.goo.gl/AiBoyWk4Z7bFr21z5
The above is in one of the busiest parts of this city. It's not like there are no people wanting to walk. In fact I found myself in exactly this position here not too long ago. I wanted to get from the mall side to a cafe on the opposite side. I gave up and ate a sad meal in the mall :(
Edit: Here's another example (with Google's hilariously impractical suggestion): https://maps.app.goo.gl/pati5dBBTnSgxZ1m9
My preferred roundabout is separate bikepath that joins the road just before and is a part of the same surface, usually found in bike friendly places.
[1] 60000+ km throughout Europe