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

75.4 square feet
75.4 square feet

452.16 square feet
452.16 square feet

452.2 square feet
452.2 square feet
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1 answer

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

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

Where \( r \) is the radius of the circle. In this case, 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 formula:

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

Calculating \( 3.14 \times 144 \):

\[ 3.14 \times 144 = 452.16 \]

Therefore, the area of the circle is:

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

The correct response is: 452.16 square feet.