By the way, Pete... that site posted by The Snail is Oxford University. If you ever have occasion to be near them, pop in and ask about radiocarbon dating. Otherwise, just follow the links in the page as they discuss the minor adjustments necessary to achieve the best accuracy possible. What it shows is NOT that it is a flawed method, but that it needs to be calibrated according to various factors. Once done, it is pretty good back to 'about' 50,000-70,000 years. And that is a bit more than 5-6000.

Dinosaurs can't BE dated by radiocarbon... they can only be dated by other form of radiometric dating using the rocks where the fossils are found( and the rocks above & below the fossils)

how they do it