Question

the diameter of a circle is 18 in. 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 $d = 18$ in, so $r=\frac{d}{2}=\frac{18}{2}=9$ in.

Step2: Calculate the area

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 9$ into the formula: $A=\pi\times9^{2}=\pi\times81$. Using $\pi\approx3.14$, we have $A\approx3.14\times81 = 254.34$ in².

Step3: Round to the nearest whole number

Rounding $254.34$ to the nearest whole number gives $254$ in².

Answer:

254 in²