To find the area of a circle, you can use the formula:
\[ \text{Area} = \pi r^2 \]
where \( r \) is the radius of the circle. Given that the radius \( r \) is 75 mm and using \( \pi \approx 3.14 \):
\[ \text{Area} = 3.14 \times (75)^2 \]
First, calculate \( 75^2 \):
\[ 75^2 = 5625 \]
Now, substitute that value back into the area formula:
\[ \text{Area} = 3.14 \times 5625 \]
Now, perform the multiplication:
\[ 3.14 \times 5625 = 17647.5 \]
Therefore, the approximate area of the circle is:
\[ \boxed{17647.5} \text{ mm}^2 \]