Question

The diameter of a circle is 6 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:

\[
A = \pi r^2
\]

where \( r \) is the radius of the circle. The radius is half of the diameter.

Given that the diameter is 6 centimeters, the radius \( r \) is:

\[
r = \frac{6}{2} = 3 \text{ centimeters}
\]

Now, plug the radius into the area formula:

\[
A = \pi (3)^2 = \pi \times 9
\]

Using \( \pi \approx 3.14 \):

\[
A \approx 3.14 \times 9 = 28.26
\]

Thus, the area of the circle is approximately:

\[
\text{Area} \approx 28.26 \text{ square centimeters}
\]

Therefore, the area of the circle is **28.26 square centimeters** when rounded to the nearest hundredth.