Final answer:
The area of a circle with a radius of 3 cm is 9π cm², where π is the mathematical constant approximately equal to 3.14159.
Step-by-step explanation:
To calculate the area of a circle with a radius of 3 cm in terms of π, we use the formula A = πr². Substituting 3 cm for the radius (r), the equation becomes:
A = π(3 cm)²
A = π(9 cm²)
Therefore, the area of the circle is 9π cm². It is important to note that while we can approximate π with numerical values for practical calculations, in terms of π, we leave the number in its symbolic form to represent the exact area without rounding errors.