Question

The diameter of a circle is 32 millimeters. What is the circle's area?
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

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. First, we'll need to find the radius from the diameter.

Given that the diameter of the circle is 32 millimeters:

\[
r = \frac{\text{diameter}}{2} = \frac{32 \text{ mm}}{2} = 16 \text{ mm}
\]

Now we can substitute the radius into the area formula:

\[
\text{Area} = \pi r^2 = 3.14 \times (16 \text{ mm})^2
\]

Calculating \( (16 \text{ mm})^2 \):

\[
(16 \text{ mm})^2 = 256 \text{ mm}^2
\]

Now substituting back into the area formula:

\[
\text{Area} = 3.14 \times 256 \text{ mm}^2
\]

Calculating this:

\[
\text{Area} \approx 3.14 \times 256 = 804.64 \text{ mm}^2
\]

Finally, rounding to the nearest hundredth:

\[
\text{Area} \approx 804.64 \text{ mm}^2
\]

Thus, the area of the circle is **804.64 mm²**.