What is the formula for the area of a circle?

The formula for the area of a circle is represented by the equation Area = πr². In this formula, "r" stands for the radius of the circle, which is the distance from the center of the circle to any point on its circumference. The π (pi) symbol, approximately equal to 3.14, is a constant that represents the ratio of the circumference of a circle to its diameter.

This formula derives from the need to find the total space contained within the circle's boundary. By squaring the radius (r²), you are effectively accounting for the area covered by that radius extended around the center in all directions. Multiplying by π provides the necessary adjustment to account for the circular nature of the shape.

The other choices do not represent the correct formula for the area of a circle; they either pertain to other mathematical concepts or formulas, such as those dealing with the circumference or surface area of three-dimensional shapes. Recognizing the specific definitions and applications of these formulas helps in distinguishing them from one another.