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

79 square mm
79 square mm

314 square mm
314 square mm

78.5 square mm
78.5 square mm

15.7 square mm

1 answer

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. The radius is half of the diameter. Given that the diameter is 10 millimeters:

\[ r = \frac{10 \text{ mm}}{2} = 5 \text{ mm} \]

Now, substituting the radius into the area formula using \( \pi \approx 3.14 \):

\[ \text{Area} = 3.14 \times (5 \text{ mm})^2 \]

Calculating \( (5 \text{ mm})^2 \):

\[ (5 \text{ mm})^2 = 25 \text{ mm}^2 \]

Now, substitute this back into the area formula:

\[ \text{Area} = 3.14 \times 25 \text{ mm}^2 \]

Calculating this:

\[ 3.14 \times 25 = 78.5 \text{ mm}^2 \]

Thus, the area of the circle is 78.5 square mm.

So, the correct response is:

78.5 square mm