What is the term for the area under the basket in basketball?

The area under the basket in basketball is commonly referred to as "the paint." This term is derived from the colored area near the hoop, which is typically painted a different color from the rest of the court. The paint is crucial because it is where a lot of action occurs during the game, such as shooting, rebounding, and post plays. Players are often subject to different rules within this area, such as the three-second violation which restricts offensive players from remaining in the paint for more than three seconds while their team is in possession of the ball.

The other terms in the options refer to different aspects of the basketball court. The court refers to the entire playing area. The three-point line is the arc that marks the boundary for three-point shooting, while the backcourt refers to the half of the court that is opposite the offensive team's basket, typically where the ball is brought up after being played in the frontcourt. Each term has its own specific meaning and significance in the context of the game.