Question

the diameter of a circle is 14 m. 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 $d = 14$ m, so $r=\frac{d}{2}=\frac{14}{2}=7$ m.

Step2: Calculate the area

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 7$ m into the formula: $A=\pi\times(7)^{2}=49\pi$ m². Using $\pi\approx3.14$, we get $A\approx49\times3.14 = 153.86$ m².

Step3: Round to the nearest whole number

Rounding $153.86$ to the nearest whole number gives $154$ m².

Answer:

$154$ m²