Carnage and Carnival

The words carnage and carnival both have carn in them. Are both of these appearances of carn from the same word or is the similarity merely coincidental? I am going to go related. What did you guess? I guess related. You guessed before I checked it out. Okay, so Carnage obviously is just cut up flesh. Right? Carn age. Like meatage essentially. Meatage. And even if it wasn't that, even if it was just butchery and it was like a term for like a side of beef was like carnage or something like that. Carnival, I am imagining, is at some kind of animal circus. Oh, right. Without the horsey drum. Yeah