Not the radial, but I fractured my ulna close to my left elbow a few years back from not tapping to an armbar in BJJ. Didn't even hurt, just a loud crack. Swollen for a few days and no bruising. It was fractured, not fully snapped though, so I don't know if that's your case.
I was in a sling for about 3 or so weeks, could resume light training after about two months and there's not much else to it. You might feel it for a while after it’s completely healed.
Make sure it heals well and you get it checked out quickly because I waited about a week before seeing the doctor and it cracks all the time now even if fully healed. Didn't think it was that bad, but I decided to get it checked out because after a week I still couldn't bring food/coffee cup to my mouth.
All my injuries were ligament-related, this was my first and only break (so far), I was surprised to see how quickly it healed compared to a ligament which takes fucking forever.
I also partially tore the UCL on my right elbow and that was a pain in the ass to heal, I still feel it from time to time and have to be careful when I train/fall down skating.
Edit: Fractured my ulna, not radial, I always get ‘em confused