Question

The diameter of a circle is 28 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. The radius is half of the diameter.

Given that the diameter of the circle is 28 kilometers, the radius \( r \) is:

\[
r = \frac{\text{diameter}}{2} = \frac{28}{2} = 14 \text{ kilometers}
\]

Now, substitute the radius into the area formula:

\[
\text{Area} = \pi r^2 = 3.14 \times (14)^2
\]

Calculating \( (14)^2 \):

\[
(14)^2 = 196
\]

Now plug this value into the area formula:

\[
\text{Area} = 3.14 \times 196
\]

Calculating \( 3.14 \times 196 \):

\[
3.14 \times 196 = 615.44
\]

Thus, the area of the circle is:

\[
\boxed{615.44} \text{ square kilometers}
\]