How do you find the area of a circle?

To determine the area of a circle, the formula used is A = πr², which means that the area (A) is equal to pi (π) multiplied by the radius (r) squared. This formula arises from the definition of a circle, where the radius is the distance from the center of the circle to any point on its boundary. Since the area is a measure of the space enclosed within the circle, squaring the radius allows us to account for all the points within the circle's boundary.

The value of pi (approximately 3.14) is used because it represents the ratio of the circumference of a circle to its diameter, and it is a fundamental constant in mathematics related to circles. The radius is the crucial measurement for calculating the area because it determines the size of the circle. By squaring this value and then multiplying by π, we effectively quantify the entire space within the circle.

Other formulas presented in the options refer to different properties or measurements related to circles. For instance, one formula provides a way to calculate the volume of a sphere, which is distinct from calculating an area, while another represents the circumference of a circle, which involves only the perimeter rather than the two-dimensional space enclosed. This underscores the importance of