Does a cheetah eat a goat?

Given an opportunity yes. But, the cheetah is too small to even bring down a giraffe calf. However, if they spot an injured calf or an already dead carcass, they will happily eat them

not one cheetah but if they were going to starve with nothing else to eat but a giraffe maybe but there would need to be about 12 cheetahs to take the giraffe maybe 15 cheetahs - and cheetahs don't hunt in packs - so no.