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)