The formula for calculating the area of a circle is given by the equation: A = πr², where A represents the area and r is the radius of the circle.
To find the area, we first need to determine the radius of the circle. The radius is half of the diameter. Since the diameter is 10 units, the radius will be:
r = 10 units / 2 = 5 units
Now we can substitute the radius back into the area formula:
A = π(5²)
Calculating 5 squared, we get:
A = π(25)
Thus, the exact area of the circle is:
A = 25π square units
This means the area of the circle with a diameter of 10 units is exactly 25π, which is approximately 78.54 square units when you use 3.14 as an approximation for π.