Answer:
8[tex]\pi[/tex]
Step-by-step explanation:
Since the area of a circle is A = [tex]\pi r^{2}[/tex], and the circumference of a circle is
C = [tex]\pi d[/tex] or C = [tex]2\pi r[/tex], we need to solve for r using the area equation
Since the area is 16[tex]\pi[/tex], we will replace that for the "area" in our equation
16[tex]\pi[/tex]=[tex]\pi r^{2}[/tex] which simplifies to 16 = [tex]r^{2}[/tex] making r = 4
We can now plug in r into our circumference equation C = 2[tex]\pi[/tex](4) = 8[tex]\pi[/tex]
