To find the circumference of a circle, we can use the formula C = 2πr, where C represents the circumference and r represents the radius of the circle.
Given that the area is 9π m^2, we can find the radius using the formula A = πr^2, where A represents the area. Rearranging the formula, we get r = √(A/π).
Substituting the given area, we have r = √(9π/π) = √9 = 3 m.
Now we can calculate the circumference using C = 2πr. Plugging in the value of r, we get C = 2π(3) = 6π m.
So, the circumference of the circle is 6π meters.