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

π
.(1 point)
Responses

452.16 square feet
452.16 square feet

452.2 square feet
452.2 square feet

113.04 square feet
113.04 square feet

75.4 square feet
75.4 square feet

before you answer, please explain the steps to soling this

1 answer

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

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

where \( \pi \) is approximately 3.14, and \( r \) is the radius of the circle.

Steps to solve:

  1. Identify the radius: In this case, the radius \( r \) is 12 feet.

  2. Square the radius: This means multiplying the radius by itself. \[ r^2 = 12 \times 12 = 144 \]

  3. Multiply by π: Now, use the value of \( \pi \) (3.14) to find the area: \[ \text{Area} = \pi r^2 = 3.14 \times 144 \]

  4. Calculate the multiplication: \[ 3.14 \times 144 = 452.16 \]

  5. Round to the required precision: In this case, the answer is already to the hundredths place.

Thus, the area of the circle with a radius of 12 feet is:

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

So the final answer is:

452.16 square feet