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

75.4 square feet
75.4 square feet

452.16 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:
- Radius \( r = 12 \) feet
- Using \( \pi \approx 3.14 \)

Now, substitute the values into the formula:

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

Calculating \( (12)^2 \):

\[
(12)^2 = 144
\]

Now, multiply by \( \pi \):

\[
A = 3.14 \times 144
\]

Calculating that:

\[
A = 452.16
\]

Thus, the area of the circle is approximately \( 452.16 \) square feet.

So the correct response is:

**452.16 square feet**