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

314 square mm
314 square mm

79 square mm
79 square mm

78.5 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 a diameter of 10 millimeters, the radius \( r \) is:

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

Now, we can calculate the area using \( \pi \approx 3.14 \):

\[ \text{Area} = 3.14 \times (5 \text{ mm})^2 \] \[ \text{Area} = 3.14 \times 25 \text{ mm}^2 \] \[ \text{Area} = 78.5 \text{ square mm} \]

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

The correct response is 78.5 square mm.