Question

the radius of a circle is 12 cm. find its area to the nearest whole number.

Explanation:

Step1: Recall the area formula

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

Step2: Substitute the radius value

Given $r = 12$ cm, we substitute it into the formula: $A=\pi\times(12)^{2}=144\pi$.

Step3: Calculate the numerical value

Using $\pi\approx3.14159$, we have $A = 144\times3.14159 = 452.389$.

Step4: Round to the nearest whole number

Rounding $452.389$ to the nearest whole number gives $452$.

Answer:

$452$ cm²