Foul tip hits home plate

[Spectator]

Sorry for my lack of the proper term that I was trying to refer to and thank you all for such a speedy response. So that I’m clear on the ruling; if the lines around the Batter and Catcher box are worn and are not clearly marked, how large of an area around home plate is fair territory, i.e. the diameter of the line around home plate. The reason I ask is because it seemed clear that after the ball hit home plate and bounced up it either hit the batter or the catcher and seemed to roll out of fair territory. I clearly understand that the ball hitting home plate is always fair territory, is it not more relevant where the ball ends up? And if the ball indeed hit the catcher or batter after hitting home plate, is there a ruling there also. I can definitely see how making a call in a split second with so many variables can be very difficult. Thanks again.