They are 2 separate disorders. Paranoia is the when you think someone or something is trying to do you harm or make you fail. This is all in the mind.
Anxiety is a disorder involving chemicals in the mind which sends adrenaline surges from your adrenal glands. Anxiety is treated as a mental disorder even though it involves actually bodily functions. That is why when someone first starts having anxiety or panic attacks the doctor wants you to have a blood test to check on how your hormones are functioning, especially the thyroid hormone.