The area of a circle can be calculated using the formula:
A = πr²
where A is the area, π (pi) is a constant approximately equal to 3.14, and r is the radius of the circle.
To find the area, we first need to determine the radius. The radius is half of the diameter. Given that the diameter of our circle is 6, we can calculate the radius as follows:
r = diameter / 2 = 6 / 2 = 3
Now that we have the radius, we can plug it into the area formula:
A = πr² = π(3)²
Squaring the radius:
A = π(9) = 9π
To get a numerical approximation, we can multiply:
A ≈ 9 × 3.14 = 28.26
Thus, the area of a circle with a diameter of 6 is approximately 28.26 square units.