Which formula represents the area of a circle?

The formula that represents the area of a circle is A = πr², where A is the area and r is the radius of the circle. This formula is derived from the relationship between the radius and the total space contained within the circle.

In this formula, π (pi) is a mathematical constant approximately equal to 3.14. The r² indicates that the radius is squared, which emphasizes how the area scales with the size of the circle. As a circle’s radius increases, the area grows exponentially due to the squaring of the radius.

Understanding this formula is essential not only for mathematical calculations related to geometry but also has practical applications in fields such as landscaping, architecture, and any other area where circular spaces must be assessed and calculated, including home inspections where circular features like wells or tree trunks may need to be evaluated.

The other choices misrepresent the concept of area in different shapes. A = bh/2 is the formula for the area of a triangle, Area = 3.14 x Radius illogically suggests a calculation for area without squaring the radius, and Area = 2πr gives the circumference of a circle rather than the area. This highlights the specific need to use the correct formula depending on the