1. **State the problem:** We need to estimate the area of a circle with a diameter of 40 feet using $\pi \approx 3.14$. 2. **Recall the formula for the area of a circle:** $$\text{Area} = \pi r^2$$ where $r$ is the radius of the circle. 3. **Find the radius:** Since the diameter is 40 feet, the radius is half of that: $$r = \frac{40}{2} = 20 \text{ feet}$$ 4. **Calculate the area using the approximation for $\pi$:** $$\text{Area} = 3.14 \times 20^2 = 3.14 \times 400$$ 5. **Multiply to find the area:** $$\text{Area} = 1256 \text{ square feet}$$ **Final answer:** The estimated area of the circle is **1256 square feet**.