1. **State the problem:** Calculate the area of a circle with radius 11 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. **Given:** $r = 11$ inches and use $\pi \approx 3.14$ as instructed. 4. **Calculate:** Substitute $r = 11$ into the formula: $$A = 3.14 \times 11^2$$ 5. **Simplify the exponent:** $$A = 3.14 \times 121$$ 6. **Multiply:** $$A = 379.94$$ 7. **Round to the nearest hundredth:** The value is already at two decimal places. **Final answer:** $$A = 379.94 \text{ in}^2$$