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

75.4 square feet
75.4 square feet

113.04 square feet
113.04 square feet

452.16 square feet
452.16 square feet

452.2 square feet
452.2 square feet

Answer 1

The area \( A \) of a circle can be calculated using the formula:

\[
A = \pi r^2
\]

Where \( r \) is the radius of the circle.

Given the radius \( r = 12 \) feet, we can substitute this value into the formula using \( \pi \approx 3.14 \):

\[
A = 3.14 \times (12)^2
\]

Calculating \( (12)^2 \):

\[
(12)^2 = 144
\]

Now, substituting that back into the area formula:

\[
A = 3.14 \times 144
\]

Now, performing the multiplication:

\[
A = 452.16 \text{ square feet}
\]

Thus, the area of the circle is estimated to be **452.16 square feet**. Therefore, the correct response is:

**452.16 square feet**.