Question

Jorge is building a circular stage for an upcoming concert. The stage needs to have an area of at
least 200 square meters to fit the performers. What is the smallest radius that the stage could have? Explain your reasoning,

Answer 1

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 :

$A=\pi r^2$

such that,

$\pi r^2=200\\\\r=\sqrt{\dfrac{200}{\pi}} \\\\r=7.97\ m$

So, the smallest radius that the stage could have is 7.97 m.