Question

the diameter of a circle is 16 miles. what is the area? give the exact answer in simplest form. square miles

Explanation:

Step1: Find the radius.

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

Step2: Calculate the area.

The area formula of a circle is $A=\pi r^{2}$. Substitute $r = 8$ into the formula, we get $A=\pi\times8^{2}=\pi\times64 = 64\pi$ square miles.

Answer:

$64\pi$