Step-by-step explanation
We need to apply the equation for a circumference in order to get the needed value, as shown as follows:
![Circumference=2\pi r](https://img.qammunity.org/2023/formulas/mathematics/college/qdxr67x7jj0qwxp9hn0yvxrs5m47pdgayt.png)
As we don't know the radius, but just the area, we need to isolate it from the surface equation:
![Area=\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/8ptczatit1vg4t6v3gogk0v4z5zgjt74r7.png)
Substituting terms:
![379.94=\pi r^2](https://img.qammunity.org/2023/formulas/mathematics/college/brdvo1woj2svi5l1b4dveudcutmomz4kuj.png)
Isolating the radius:
![(379.94)/(\pi)=r^2](https://img.qammunity.org/2023/formulas/mathematics/college/rsbmslqs2qaxcuiy4ylbfyl82c2btka3o9.png)
Applying the square root to both sides:
![r=\sqrt{(379.94)/(3.14)}=10.9972](https://img.qammunity.org/2023/formulas/mathematics/college/8u180mv2tb71p0jh6xew0to64x6czlx1f2.png)
Plugging in the radius into the equation of circumference:
![Circumference=2*3.14*(10.9972)](https://img.qammunity.org/2023/formulas/mathematics/college/apvla35w44bp5zifwwfxst4lsozs2ucwpu.png)
Multiplying terms:
![Circumference=69.0624](https://img.qammunity.org/2023/formulas/mathematics/college/gqbg03zqkiwumvzcwuof0v9l4x1dwao573.png)
In conclusion, the Circumference is equal to 69.06 feet.