Question

The diameter of a circle is 16 kilometers. What is the circle's area? Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth. _____ square kilometers

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.

Given that the diameter of the circle is 16 kilometers, we first need to find the radius:

\[
r = \frac{\text{diameter}}{2} = \frac{16\, \text{km}}{2} = 8\, \text{km}
\]

Now we can substitute the radius into the area formula:

\[
\text{Area} = \pi r^2 = 3.14 \times (8\, \text{km})^2
\]

Calculating \( (8\, \text{km})^2 \):

\[
(8\, \text{km})^2 = 64\, \text{km}^2
\]

Now substitute it back into the area calculation:

\[
\text{Area} = 3.14 \times 64\, \text{km}^2
\]

Now do the multiplication:

\[
\text{Area} = 200.96\, \text{km}^2
\]

Rounding to the nearest hundredth, the area of the circle is:

\[
\text{Area} \approx 200.96\, \text{square kilometers}
\]

So, the final answer is:

**200.96 square kilometers**