Question

The diameter of a circle is 36 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, we 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 the diameter is 36 centimeters, we can find the radius:

\[
r = \frac{\text{diameter}}{2} = \frac{36 \text{ cm}}{2} = 18 \text{ cm}
\]

Now we can substitute the value of the radius into the area formula:

\[
\text{Area} = \pi (18 \text{ cm})^2
\]

Calculating \( (18 \text{ cm})^2 \):

\[
(18 \text{ cm})^2 = 324 \text{ cm}^2
\]

Now substituting the value and using \( \pi \approx 3.14 \):

\[
\text{Area} \approx 3.14 \times 324 \text{ cm}^2
\]

Now, calculating \( 3.14 \times 324 \):

\[
3.14 \times 324 \approx 1017.36 \text{ cm}^2
\]

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

\[
\boxed{1017.36} \text{ square centimeters}
\]