The formula for the area of a circle is:

$A = \pi r^2$

where $r$ is the radius.

Given that the radius $r = 8$ mm and using $\pi \approx 3.14$, we calculate:

$A = 3.14 \times (8)^2$

$A = 3.14 \times 64$

$A = 200.96 \text{ mm}^2$

Final Answer:

$\mathbf{200.96 \text{ mm}^2}$

Would you like a step-by-step breakdown or any additional details?

Related Questions:

1. What is the circumference of the same circle using $\pi \approx 3.14$?
2. If the radius were doubled, how would the area change?
3. How would the area change if $\pi$ were approximated as 3.1416 instead?
4. What is the area of a semicircle with the same radius?
5. How does the area formula for a circle compare to that of a square?

Math Tip:

Always check if rounding affects your final answer, especially when working with approximations of $\pi$.