Answer:
The smallest radius that the stage could have is 7.97 m.
Step-by-step explanation:
The stage needs to have an area of at least 200 square meters to fit the performers.
For a circle, the area is given by :
[tex]A=\pi r^2[/tex]
such that,
[tex]\pi r^2=200\\\\r=\sqrt{\dfrac{200}{\pi}} \\\\r=7.97\ m[/tex]
So, the smallest radius that the stage could have is 7.97 m.
