The area \( A \) of a circle can be calculated using the formula:
\[ A = \pi r^2 \]
where \( r \) is the radius and \( \pi \) is approximately 3.14. Given that the radius \( r \) is 75 mm, we can plug in the values:
\[ A = 3.14 \times (75)^2 \]
First, calculate \( (75)^2 \):
\[ 75^2 = 5625 \]
Now multiply this by 3.14:
\[ A = 3.14 \times 5625 = 17647.5 \]
Therefore, the approximate area of the circle is:
\[ \text{Area} \approx 17647.5 , \text{mm}^2 \]
So the area to the tenth place is 17647.5 mm².