EXPLANATION
We need to apply the equation for a circumference in order to get the needed value, as shown as follows:
[tex]Circumference=2\pi r[/tex]
As we don't know the radius, but just the area, we need to isolate it from the surface equation:
[tex]Area=\pi r^2[/tex]
Substituting terms:
[tex]379.94=\pi r^2[/tex]
Isolating the radius:
[tex]\frac{379.94}{\pi}=r^2[/tex]
Applying the square root to both sides:
[tex]r=\sqrt{\frac{379.94}{3.14}}=10.9972[/tex]
Plugging in the radius into the equation of circumference:
[tex]Circumference=2*3.14*(10.9972)[/tex]
Multiplying terms:
[tex]Circumference=69.0624[/tex]
In conclusion, the Circumference is equal to 69.06 feet.
