What is the area formula for a circle?

The area formula for a circle is given by π x Radius². This formula derives from the geometric principles related to the properties of circles, where the radius is the distance from the center of the circle to any point on its circumference.

To find the area, you multiply π (approximately 3.14159) by the square of the radius. Squaring the radius emphasizes the area encompasses the full two-dimensional space within the circular boundary.

The other formulas presented do not pertain specifically to circles. Length x Width is the formula for the area of a rectangle, and Base + Height does not represent an area formula but rather reflects the dimensions needed for computing the area of specific shapes, like triangles when paired with other context. The expression (Diameter x 2) / π is not a recognized formula for area; it relates more to circular measurements but incorrectly represents the necessary calculations for determining area. Thus, π x Radius² accurately encapsulates the method to calculate the area contained within a circle.