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

452.2 square feet
452.2 square feet

452.16 square feet
452.16 square feet

113.04 square feet

1 answer

To calculate the area of a circle, you can use the formula:

\[ \text{Area} = \pi r^2 \]

where \( r \) is the radius.

Given that the radius \( r = 12 \) 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:

\[ \text{Area} = 452.16 \]

Therefore, the area of the circle is:

452.16 square feet

So the correct response is:

452.16 square feet