Final answer:
The circumference of the circle is 12π meters.
Step-by-step explanation:
The area of a circle is found using the formula A = πr², where A is the area and r is the radius.
In this case, the area is given as 36π m².
To find the radius, we can rearrange the formula: r = √(A/π).
Substituting the given area, we have r = √(36π/π)
= √36
= 6 m.
The circumference of a circle is found using the formula C = 2πr.
Plugging in the radius, we get C = 2π(6)
= 12π m.
Therefore, the circumference of the circle is 12π meters.