Question

the diameter of a circle is 30 ft. 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 $d = 30$ ft, so $r=\frac{d}{2}=\frac{30}{2}=15$ ft.

Step2: Use the area formula

The area formula of a circle is $A=\pi r^{2}$. Substitute $r = 15$ into the formula: $A=\pi\times(15)^{2}=\pi\times225$.
Taking $\pi\approx3.14$, we have $A\approx3.14\times225 = 706.5$ square - feet.

Step3: Round to the nearest whole number

Rounding $706.5$ to the nearest whole number gives $707$.

Answer:

707 square - feet