Answer: [tex]8\pi\ cm[/tex]
Step-by-step explanation:
Area of circle is given by :-
[tex]A=\pi r^2[/tex], where r is the radius.
Given : The area of a circle is [tex]16\pi\ cm^2[/tex]
Then, we have
[tex]\pi r^2=16\pi\\\\\Rightarrow\ r^2=16\\\\\Rightarrow\ r=\pm4[/tex]
Since r cannot be negative , so r=4 cm
The circumference of a circle is given by :-
[tex]C=2\pi r\\\\\Rightarrow\ C=2\pi(4)=8\pi\ cm[/tex]
Hence, the circle's circumference = [tex]8\pi[/tex] cm
