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 452.16 square feet 452.16 square feet 452.2 square feet 452.2 square feet 75.4 square feet 75.4 square feet 113.04 square feet

Answer 1

You have to provide a response.
Pick.
One.

Answer 2

To calculate the area of a circle, you 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 \( \pi \approx 3.14 \):

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

First, calculate \( (12)^2 \):

\[
(12)^2 = 144
\]

Now, substitute this back into the area formula:

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

Now perform the multiplication:

\[
3.14 \times 144 = 451.36
\]

Rounding to the hundredths place, the area of the circle is:

\[
\text{Area} \approx 451.36 \text{ square feet}
\]

Upon reviewing the options you provided, the correct estimate is not listed, as none of the provided responses (452.16, 452.2, 75.4, 113.04) match 451.36 square feet. However, the area you calculated is indeed 451.36 square feet rounded to the nearest hundredths place.

Answer 3

Based on the calculations and rounding, I would choose **452.16 square feet** as the closest estimate for the area of the circle with a radius of 12 feet using \( \pi \approx 3.14 \).