Question

The diameter of a circle is 24 centimeters. What is the circle's area?
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
square centimeters

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 24 centimeters, you can find the radius by dividing the diameter by 2:

\[
r = \frac{d}{2} = \frac{24 \, \text{cm}}{2} = 12 \, \text{cm}
\]

Now, substitute \( r \) into the area formula:

\[
\text{Area} = \pi (12 \, \text{cm})^2
\]

Calculating \( (12 \, \text{cm})^2 \):

\[
(12 \, \text{cm})^2 = 144 \, \text{cm}^2
\]

Now multiply by \( \pi \):

\[
\text{Area} = 3.14 \times 144 \, \text{cm}^2
\]

Calculating \( 3.14 \times 144 \):

\[
3.14 \times 144 = 452.16 \, \text{cm}^2
\]

So, the area of the circle is:

\[
\boxed{452.16} \text{ square centimeters}
\]