1. **State the problem:** We need to calculate the area of a circle with radius $22$ mm. 2. **Formula for the area of a circle:** The area $A$ of a circle is given by the formula: $$A = \pi r^2$$ where $r$ is the radius of the circle. 3. **Substitute the radius:** Here, $r = 22$ mm, so: $$A = \pi \times 22^2$$ 4. **Calculate the square of the radius:** $$22^2 = 484$$ So, $$A = \pi \times 484$$ 5. **Calculate the area using $\pi \approx 3.1416$:** $$A \approx 3.1416 \times 484 = 1520.5304$$ 6. **Round the answer to 1 decimal place:** $$A \approx 1520.5 \text{ mm}^2$$ **Final answer:** The area of the circle is approximately $1520.5$ mm$^2$.