Question

Question
What is the area of a circle with a radius of 12 feet? Estimate the area to the hundredths place using 3.14 for π
.(1 point)
Responses

113.04 square feet
113.04 square feet

452.2 square feet
452.2 square feet

452.16 square feet
452.16 square feet

75.4 square feet

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.

In this case, the radius \( r = 12 \) feet. Using \( \pi \approx 3.14 \):

\[
\text{Area} = 3.14 \times (12)^2
\]

Calculating \( (12)^2 \):

\[
(12)^2 = 144
\]

Now, substituting back into the area formula:

\[
\text{Area} = 3.14 \times 144
\]

Calculating this:

\[
3.14 \times 144 = 452.16
\]

Thus, the area of the circle is **452.16 square feet**.

So, the correct response is:

452.16 square feet.