To calculate the area of a circle, you can use the formula:
\[ \text{Area} = \pi r^2 \]
Where \( r \) is the radius of the circle. Since the diameter is given as 10 millimeters, the radius \( r \) will be half of that:
\[ r = \frac{10 \text{ mm}}{2} = 5 \text{ mm} \]
Now, substituting \( r \) into the area formula:
\[ \text{Area} = \pi (5 \text{ mm})^2 \]
Calculating \( (5 \text{ mm})^2 \):
\[ (5 \text{ mm})^2 = 25 \text{ mm}^2 \]
Now substituting this back into the area formula along with \( \pi \approx 3.14 \):
\[ \text{Area} \approx 3.14 \times 25 \text{ mm}^2 \]
Calculating this gives:
\[ \text{Area} \approx 78.5 \text{ mm}^2 \]
So, the estimated area of the circle, to the tenths place, is 78.5 square mm.
The correct response is 78.5 square mm.