What is the correct formula for calculating the area of a circle?

The correct formula for calculating the area of a circle is represented as ( A = 3.14 \times r^2 ). This formula is derived from the mathematical constant π (pi), which is approximately equal to 3.14, and is used to express relationships in circular geometry. In this case, ( r ) represents the radius of the circle, which is the distance from the center of the circle to any point on its circumference.

The area of a circle is specifically calculated by taking the radius, squaring it (which means multiplying the radius by itself), and then multiplying that result by π. This gives a quantifiable measure of the space contained within the circle.

Other options do not correctly represent the area of a circle. The formula involving "2 x 3.14 x r" actually calculates the circumference of a circle, which is the distance around the circle, not the area. Similarly, "3.14 x d" suggests a relationship that pertains more closely to a calculation involving the diameter, without adhering to the proper relationship needed to derive area.