What is the formula for the area of a circle?

The formula for the area of a circle is derived from its geometrical properties. The correct formula, Area = π × Radius², reflects the relationship between the radius of the circle and the space it occupies.

In this formula, π (pi) is a constant approximately equal to 3.14159, and it relates the diameter of the circle to its circumference and area. The radius is the distance from the center of the circle to any point on its edge. When you square the radius (radius multiplied by itself) and then multiply it by π, you obtain the total area contained within the circle.

Understanding this is crucial because it highlights that the area increases with the square of the radius, leading to significant implications in design and calculations in HVAC systems where circular ducts or piping may be used. The other formulas presented involve incorrect relationships between diameter, radius, and area, illustrating a misconception in geometry that is important to clarify for accurate calculations in any applications involving circular shapes.