What is the formula for the area of a circle?

The formula for the area of a circle is indeed represented by πr squared. In this formula, "r" stands for the radius of the circle, which is the distance from the center of the circle to its edge. When you square the radius (r), you multiply the radius by itself (r × r), and then multiply the result by π (pi, approximately 3.14). This relationship arises from the geometric properties of circles and the way their area is calculated based on their radius.

Understanding this formula is crucial because the area of a circle is a fundamental concept in geometry and is widely applied in various fields such as architecture, engineering, and science. Areas can be important for determining things like the amount of material needed to cover a circular surface or the space available in circular plots of land.

In contrast, the other options do not represent the area of a circle accurately. For instance, 2πr corresponds to the formula for the circumference of a circle, which measures the distance around the circle rather than the space within it. The option πr represents the area of a circle with a diameter of 1, but lacks the exponentiation needed to calculate the area accurately. Lastly, 2r simply gives the diameter of