Question

the diameter of a circle is 17 ft. find its area to the nearest whole number. answer attempt 1 out of 2 a = ft²

Explanation:

Step1: Find the radius.

The radius $r$ of a circle is half of the diameter $d$. Given $d = 17$ ft, so $r=\frac{d}{2}=\frac{17}{2}=8.5$ ft.

Step2: Calculate the area.

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 8.5$ into the formula: $A=\pi\times(8.5)^{2}=\pi\times72.25$. Using $\pi\approx3.14$, we have $A\approx3.14\times72.25 = 226.865$ ft².

Step3: Round to the nearest whole number.

Rounding $226.865$ to the nearest whole number gives $227$ ft².

Answer:

$227$