What is the area of a circle with a diameter of 10 millimeters? Estimate the area to the tenths place using 3.14 for π

.(1 point)
Responses

15.7 square mm
15.7 square mm

79 square mm
79 square mm

314 square mm
314 square mm

78.5 square mm

1 answer

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.