Don't make any difference, right angles, 45 degree or arc... no difference until you get into low GHz... And no they do not cause radiation, how are they going to radiate from the corners, electrons crowding round the bend maybe...LOL
Suggest you look up some of the stuff by Henry Ott, Ralph Morrsion and Howard Johnson, plus look in the PCB section we have discussed this before many times.....
The design shown is not RF and I suspect that we are talking about normal digital signals, RF has more concerns than PCB corners.