Question

find the area of the circle with the following dimension. radius = 12 in the area is in². (round to the nearest tenth as needed.)

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 radius value

Given $r = 12$ in, we substitute it into the formula: $A=\pi\times(12)^{2}=\pi\times144$.

Step3: Calculate the value

Using $\pi\approx3.14159$, we have $A\approx3.14159\times144 = 452.389$.

Step4: Round to nearest tenth

Rounding $452.389$ to the nearest tenth gives $452.4$.

Answer:

$452.4$