Question

consider a circle with area 201 square units. which of the following is nearest to the circumference of the circle, in units?

$8\pi$
$14\pi$
$16\pi$
$18\pi$
$32\pi$

Explanation:

Step1: Find the radius from the area formula

The area formula of a circle is $A = \pi r^{2}$. Given $A = 201$, we have $\pi r^{2}=201$, so $r^{2}=\frac{201}{\pi}$. Taking $\pi\approx3.14$, $r^{2}=\frac{201}{3.14}\approx64$. Then $r\approx8$.

Step2: Calculate the circumference

The circumference formula of a circle is $C = 2\pi r$. Substituting $r\approx8$ into the formula, we get $C = 2\pi\times8=16\pi$.

Answer:

$16\pi$