1. **State the problem:** We need to find the area of a circle with a diameter of 17 inches. 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, so: $$r = \frac{17}{2} = 8.5$$ 4. **Calculate the area:** Substitute $r = 8.5$ into the area formula: $$A = \pi (8.5)^2 = \pi \times 72.25$$ 5. **Evaluate the area:** Using $\pi \approx 3.1416$, $$A \approx 3.1416 \times 72.25 = 226.98$$ 6. **Check the answer choices:** The given options are 26.69, 53.38, and 72.25, which are much smaller than our calculated area. This suggests the options might be incorrect or represent something else. 7. **Re-examine:** The value 72.25 is $8.5^2$, the radius squared, not the area. 8. **Conclusion:** The correct area is approximately 226.98 square inches, which is not listed among the options. **Final answer:** The area of the circle is approximately $226.98$ square inches.