1. **Problem:** Determine the area of a circle with radius 6 cm using the formula $A = \pi r^2$. 2. **Formula:** The area of a circle is given by $$A = \pi r^2$$ where $r$ is the radius. 3. **Substitute the radius:** $$A = 3.14 \times 6^2$$ 4. **Calculate the square of the radius:** $$6^2 = 36$$ 5. **Multiply:** $$A = 3.14 \times 36$$ 6. **Calculate the product:** $$A = 113.04$$ 7. **Round to one decimal place:** $$A \approx 113.0$$ 8. **Interpretation:** The area of the circle is approximately 113.0 square centimeters. Note: The original answer incorrectly used $cm^3$ which is a volume unit; area should be in $cm^2$.