Question

the area of a circle is 36π cm². what is the circumference, in centimeters? express your answer in terms of π.

Explanation:

Step1: Find the radius

The area formula of a circle is $A = \pi r^{2}$. Given $A = 36\pi$, we have $\pi r^{2}=36\pi$. Divide both sides by $\pi$: $r^{2}=36$, so $r = 6$ cm.

Step2: Calculate the circumference

The circumference formula of a circle is $C=2\pi r$. Substitute $r = 6$ into the formula: $C = 2\pi\times6=12\pi$ cm.

Answer:

$12\pi$