What is the area of a circle with a radius of 12? (Use π ≈ 3.14)

What is the area of a circle with a radius of 12? (Use π ≈ 3.14)

• A. 451.0
• B. 455.2
• C. 453.8
• D. 452.16

Answer: (D)

To find the area of a circle, you can use the formula: \[ \text{Area} = \pi r^2 \] In this problem, the radius \( r \) is given as 12. Plugging this value into the formula along with the approximation for \( \pi \): 1. Calculate \( r^2 \): \[ r^2 = 12^2 = 144 \] 2. Now, multiply by \( \pi \) (approximated as 3.14): \[ \text{Area} = 3.14 \times 144 \] 3. Performing the multiplication: \[ 3.14 \times 144 = 452.16 \] Thus, the area of the circle is 452.16 square units. This calculation confirms that the area using the provided radius and approximation for \( \pi \) leads to the correct answer, which is consistent with the choices given.

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

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

In this problem, the radius ( r ) is given as 12. Plugging this value into the formula along with the approximation for ( \pi ):

1. Calculate ( r^2 ):

[ r^2 = 12^2 = 144 ]

2. Now, multiply by ( \pi ) (approximated as 3.14):

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

3. Performing the multiplication:

[ 3.14 \times 144 = 452.16 ]

Thus, the area of the circle is 452.16 square units. This calculation confirms that the area using the provided radius and approximation for ( \pi ) leads to the correct answer, which is consistent with the choices given.