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)
15.7 square mm
314 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 \( r \) can be calculated as:

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

Now, use the value of \( \pi \) as 3.14 to calculate the area:

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

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

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

Now substitute that into the area formula:

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

Calculating that product:

\[ \text{Area} = 78.5 , \text{mm}^2 \]

Therefore, the area of the circle is approximately \( 78.5 \) square millimeters, rounded to the tenths place.

The correct answer is:

78.5 square mm.