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

452.2 square feet
452.2 square feet

452.16 square feet
452.16 square feet

113.04 square feet
113.04 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.

Given that the radius \( r \) is 12 feet and 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 that product:

\[
3.14 \times 144 = 452.16
\]

So, the estimated area of the circle to the hundredths place is:

\[
\text{Area} \approx 452.16 \text{ square feet}
\]

The correct response is:

**452.16 square feet**