1. **State the problem:** Find the area of a circle with radius $r=12$. 2. **Formula:** The area $A$ of a circle is given by the formula $$A = \pi r^2$$ where $r$ is the radius. 3. **Substitute values:** Using $\pi = 3.14$ and $r=12$, we have $$A = 3.14 \times 12^2$$ 4. **Calculate the square:** $$12^2 = 144$$ so $$A = 3.14 \times 144$$ 5. **Multiply:** $$A = 3.14 \times 144 = 452.16$$ 6. **Round the answer:** The area rounded to the nearest hundredth is $$452.16$$. **Final answer:** The area of the circle is $452.16$ square units.