Subjects geometry

Doughnut Area Fbadc1

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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).