Answer: [tex]28.27cm^2[/tex]
Step-by-step explanation:
The area of a circle can be calculated with the formula:
[tex]A=\pi r^2[/tex]
Where r is the radius of the circle.
The circumference of a circle can be calculated with the formula:
[tex]C=2\pi r[/tex]
Where r is the radius of the circle.
Knowing that the circumference is 6π, you know that the radius is:
[tex]r=\frac{6\pi}{2\pi}\\r=3cm[/tex]
Substitute the radius of the circle into the formula [tex]A=\pi r^2[/tex], then:
[tex]A=\pi (3cm)^2\\A=28.27cm^2[/tex]
