Respuesta :

Answer:

[tex] r =\sqrt{\frac{314 units^2}{3.14}} = 10 units[/tex]

And the circumference is given by this formula:

[tex] C = 2\pi r[/tex]

And replacing the value fo r we got:

[tex] C = 2\pi *10 units = 62.8 units[/tex]

And then the final answer would be 62.8 units for the circumference.

Step-by-step explanation:

For this case we know that the area for a circle is given by:

[tex] A = \pi r^2[/tex]

And we know that [tex] A = 314 units^2[/tex]

We can find the radius from the previous formula like this:

[tex] r^2 = \frac{A}{\pi}[/tex]

[tex] r^2 = \frac{314 units^2}{\pi}[/tex]

[tex] r =\sqrt{\frac{314 units^2}{3.14}} = 10 units[/tex]

And the circumference is given by this formula:

[tex] C = 2\pi r[/tex]

And replacing the value fo r we got:

[tex] C = 2\pi *10 units = 62.8 units[/tex]

And then the final answer would be 62.8 units for the circumference.