we know that
the area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
the circumference of a circle is equal to
[tex]C=2\pi r[/tex]
where
r is the radius of the circle
in this problem we have
[tex]A=200.96\ km^{2}[/tex]
Step [tex]1[/tex]
Find the radius of the circle
[tex]A=\pi r^{2}[/tex]
[tex]A=200.96\ km^{2}[/tex]
so
[tex]200.96=\pi r^{2}[/tex]
[tex]r^{2}=(200.96/3.14)[/tex]
[tex]r^{2}=64\\ r=8\ km[/tex]
Step [tex]2[/tex]
Find the circumference of the circle
[tex]C=2\pi r[/tex]
[tex]C=2*3.14*8[/tex]
[tex]C=50.24\ km[/tex]
therefore
the answer is
the circumference is equal to [tex]50.24\ km[/tex]
