Which formula correctly defines the area of a circle?

The area of a circle is defined by the formula πr², where "r" represents the radius of the circle. This formula derives from the concept that the area measures the space contained within the boundaries of the circle.

In practical terms, the formula πr² means that you take the radius of the circle, square it (which means multiplying it by itself), and then multiply that value by π (pi), a mathematical constant approximately equal to 3.14. This relationship comes from the circular shape of the circle and helps in calculating the total space inside.

By understanding this formula, one can accurately determine the area of any circle, given the radius. It is crucial for applications in various fields such as geometry, engineering, and physics, where precise area calculations are needed.