Which formula is used to calculate the area of a circle?

The formula used to calculate the area of a circle is A = πr². In this formula, A represents the area, π (pi) is a constant approximately equal to 3.14159, and r represents the radius of the circle.

This formula arises from the relationship between the radius and the dimensions of the circle itself. The area of a circle can be thought of as the total space contained within the circle’s boundary. As the radius increases, the area grows at a rate proportional to the square of the radius, which is why the radius is squared in the formula.

When you apply this formula, you multiply π by the square of the radius, effectively capturing how much space is covered in the circular shape. This relationship is essential for geometric calculations involving circles and supports various applications in mathematics and real-world scenarios.