The bar under the sun figures is one full day, midnight to midnight, in the selected city's zone, with the amber band marking daylight and the violet bands on either side marking civil twilight. Its value is comparative: step through a few days with the Prev and Next buttons and the amber band visibly grows or shrinks, and step through a few months and it slides sideways as well, which is the part a table of times hides.
Under "Day length" is the change against the previous day, and it is worth watching rather than the day length itself. Near an equinox at middle latitudes it reads a few minutes a day, so the evenings noticeably draw in or out from one week to the next. Within a few days of a solstice it falls to a minute or to nothing at all, which is where the word comes from: sol plus sistere, the sun standing still. A city near the equator shows a figure close to zero all year.
Above roughly 66.5° of latitude the sun can stay up or down for a whole day. An amber note then says midnight sun or polar night, the day length reads 24h 00m or 0h 00m, and the sunrise and sunset fields have nothing to show because no such event happens. Civil dawn and dusk can be missing on their own at lower latitudes too: through midsummer in southern Scandinavia, Scotland or southern Alaska the sun never drops the full 6° below the horizon, twilight lasts all night, and the two fields have no crossing to report.