To find the area of a circle, we can use the formula:
Area = πr²
In this formula, r represents the radius of the circle. Since the diameter is given as 6, we can find the radius by dividing the diameter by 2:
Radius (r) = Diameter / 2 = 6 / 2 = 3
Now that we have the radius, we can substitute it into the area formula:
Area = π(3)²
This simplifies to:
Area = π(9)
That means:
Area ≈ 28.27
Therefore, the area of a circle with a diameter of 6 is approximately 28.27 square units.