Answer:
![28.27cm^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/sn4wwu9h989qp7h2sospcrcfrkmv0b4mdl.png)
Explanation:
The area of a circle can be calculated with the formula:
Where r is the radius of the circle.
The circumference of a circle can be calculated with the formula:
![C=2\pi r](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kmguleyi3d7rsbh4zj0jg7p7fumid62phf.png)
Where r is the radius of the circle.
Knowing that the circumference is 6π, you know that the radius is:
![r=(6\pi)/(2\pi)\\r=3cm](https://img.qammunity.org/2020/formulas/mathematics/high-school/vj03l7li4nk9bezf43l5mcg7f4q0d3m1sc.png)
Substitute the radius of the circle into the formula
, then:
![A=\pi (3cm)^2\\A=28.27cm^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/9wgpsf4rf7iy1981uqebonz3h3o91tp5y1.png)