Respuesta :

Answer:

The circumference is 98.39 centimeters (rounded to 2 decimal places)

Step-by-step explanation:

The area of a circle has the formula  [tex]\pi r^2[/tex]

The circumference of a circle has the formula  [tex]2\pi r[/tex]

First, let's find r from area given:

[tex]\pi r^ 2= 770\\r^2 = \frac{770}{\pi}\\r=\sqrt{\frac{770}{\pi}} \\r=15.66[/tex]

Now, we can use this value of r and plug in into the formula for circumference. Shown below:

[tex]2\pi (15.66)\\=98.39[/tex]

The circumference is 98.39 centimeters (rounded to 2 decimal places)