Question

find the area of a circle with diameter 16 ft. use the value 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 16$ ft, so $r=\frac{d}{2}=\frac{16}{2}=8$ ft.

Step2: Calculate the area

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 8$ ft and $\pi=3.14$ into the formula: $A = 3.14\times8^{2}=3.14\times64 = 200.96$ $ft^{2}$.

Answer:

$200.96$ $ft^{2}$