1. **State the problem:** Find the area of a circle with a diameter of 38 cm. 2. **Formula:** The area $A$ of a circle is given by the formula: $$A = \pi r^2$$ where $r$ is the radius of the circle. 3. **Find the radius:** The radius is half the diameter: $$r = \frac{38}{2} = 19 \text{ cm}$$ 4. **Calculate the area:** Substitute $r = 19$ cm into the area formula: $$A = \pi (19)^2 = \pi \times 361$$ 5. **Evaluate:** Using $\pi \approx 3.1416$, $$A \approx 3.1416 \times 361 = 1134.1146 \text{ cm}^2$$ 6. **Round to two decimal places:** $$A \approx 1134.11 \text{ cm}^2$$ **Answer:** The area of the circle is approximately 1134.11 cm², which is closest to 1133.54 cm² from the given options.