Question: A jelly doughnut has a radius of 3.5 inches. What is the area of the top of the doughnut?
1. **State the problem:** We need to find the area of the top of a jelly doughnut, which is a circle with radius $3.5$ inches.
2. **Formula:** The area $A$ of a circle is given by the formula $$A = \pi r^2$$ where $r$ is the radius.
3. **Substitute the radius:** Here, $r = 3.5$, so
$$A = \pi (3.5)^2$$
4. **Calculate the square:**
$$3.5^2 = 3.5 \times 3.5 = 12.25$$
5. **Calculate the area:**
$$A = \pi \times 12.25$$
6. **Use approximate value for $\pi$:**
$$A \approx 3.1416 \times 12.25 = 38.4846$$
7. **Round the answer:**
The area is approximately $38.48$ square inches.
**Final answer:** $38.48$ square inches, which matches the choice $38.465$ square inches (rounded).