Answer: 6π cm
Explanation:
The formula for the area of a circle is:
A = πr²
where A is the area and r is the radius.
Given that the area of the circle is 9π cm², we can solve for the radius as follows:
9π = πr²
Dividing both sides by π, we get:
r² = 9
Taking the square root of both sides, we get:
r = 3
Therefore, the radius of the circle is 3 cm.
The formula for the circumference of a circle is:
C = 2πr
Substituting the value of r, we get:
C = 2π(3) = 6π
Therefore, the circumference of the circle is 6π cm.