Speed limits aren't really a speed that it's safe to go at throughout the limited area (for example, a blind T junction is probably unsafe at 20mph, but can still be in a 50). It's a speed that it's not safe to exceed, even when the road conditions appear to suggest otherwise. On a roundabout, as at other junctions without priority, the road dictates the speed, not the signage. Exceeding the safe speed indicted by the road itself is still an offense of dangerous driving, even if below the posted limit.
[1]: For cars; HGVs and vans both have a lower limit on dual carriageways. Not that many van drivers appear to know that.
The actual speed limit on that roundabout is an interesting issue! It's debatable, but the most accurate 'guidance' I can find is that it should be the speed of the majority of the approach roads — how you're supposed to work that out, sat in your own approach road, I don't know. The one in question is almost certainly 30-40 mph, which is about 50-65 km/h. In theory, some roundabouts have a 70mph speed limit, although they'll be very different from the one in question.
Disclaimer: UK driver, detest roundabouts.
So the speed limit on the roundabout is the limit on the road by which you entered, but note that it may have changed immediately before entering.
In this particular case, I'd assume the limit is 30 mph: it's in a built-up area with street lighting, and a quick look on StreetView doesn't seem to show any signage indicating otherwise.
(Pretty sure that on some larger roundabouts, e.g. on a 40 mph road, I've occasionally seen the small speed-limit reminder signs, but I don't recall ever seeing an actual change within a roundabout.)
Source: UK driver, much prefer roundabouts to most alternatives. :)
A distracted driver is going to cause an accident no matter the speed limit.
Disclaimer: UK driver, love roundabouts.
In 3rd.