Question

the diameter of a circle is 33 cm. find its area to the nearest whole number.

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 33$ cm, so $r=\frac{d}{2}=\frac{33}{2}=16.5$ cm.

Step2: Calculate the area

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 16.5$ cm into the formula: $A=\pi\times(16.5)^{2}=\pi\times272.25$. Using $\pi\approx3.14$, we have $A\approx3.14\times272.25 = 854.865$ $cm^{2}$.

Step3: Round to the nearest whole number

Rounding $854.865$ to the nearest whole number gives $855$ $cm^{2}$.

Answer:

$855$ $cm^{2}$