Answer:
The circumference of circle is: 31.714 cm
Step-by-step explanation:
Let C be the circumference of the circle
And A be the area of circle
It is given that:
[tex]A = 80cm^2[/tex]
We have to find the radius first so that it can be used to find the circumference
The area of circle is given by the formula:
[tex]A = \pi r^2[/tex]
Putting the value of area
[tex]80 = 3.14 * r^2\\\frac{80}{3.14} = r^2\\r^2 = 25.477[/tex]
Taking square root on both sides
[tex]\sqrt{r^2} = \sqrt{25.477..}\\r = 5.0475\ cm[/tex]
Now
[tex]C = 2\pi r[/tex]
Putting the value of radius
[tex]C = 2 * 3.14 * 5.05\\C = 31.714\ cm[/tex]
Hence,
The circumference of circle is: 31.714 cm
