"Sit" vs "seat": understanding the difference

What is similar?
Both "sit" and "seat" are related to the act of sitting and involve the concept of being in a seated position.
What is different?
"Sit" is primarily a verb that refers to the action of taking a seated position, while "seat" is primarily a noun that refers to the object one sits on or a designated place for sitting. "Seat" can also be a verb meaning to assign someone a place to sit.
Which one is more common?

Examples of usage
Sit- I like to sit by the window and read.
- Please sit down and relax.
- She asked her guests to sit in the living room.
- He found an empty seat in the back row.
- The airplane seat was very comfortable.
- Could you please reserve a seat for me at the theater?