Question

what is the area of a circle with a radius of 12 feet? (use 3.14 for π.)
113.04 ft²
37.68 ft²
75.36 ft²
452.16 ft²

Explanation:

Step1: Recall area formula

The formula for the area of a circle is $A = \pi r^{2}$, where $r$ is the radius.

Step2: Substitute values

Given $r = 12$ feet and $\pi=3.14$, we substitute into the formula: $A=3.14\times12^{2}$.

Step3: Calculate $12^{2}$

$12^{2}=12\times12 = 144$.

Step4: Multiply by $\pi$

$A = 3.14\times144=452.16$ square - feet.

Answer:

D. $452.16$ ft$^{2}$