I agree with Peter and Jetty - but it might be useful to know that practically nobody ever uses these words. If you do use them it will usually only be in written English, and in very particular contexts: generally when talking about animals or vampires... e.g. 'After drinking the blood of 5 victims the vampire was finally sated.' 'She has sated her desire for blood.' 'After destroying 25 towns and cities and laying waste to most of the country, the dictator finally sated his desire for vengeance.'

The most common word with that root is probably 'insatiable'. To have an insatiable desire/lust for something.

In my experience, ‘sate’ is more often used as a verb. You would ‘sate’ your base instincts. ‘To sate your sexual appetite’, ‘to sate one’s bloodlust’. I use this word. ‘Satiated’ sounds better to me as an adjective- it suggests a somewhat positive smug feeling. I don’t use it, though.

Sate - satisfy (a desire or an appetite) to the full. Satiate - satisfy (a desire or an appetite) to the full. The words mean the same thing but they are no longer in use.

The verb "to sate" is not commonly used. You will see "to satiate" a bit more, but also infrequently. The two are synonyms.