Final answer:
The circumference of a DVD with an area of 36π cm^2 is 12π cm.
Step-by-step explanation:
The question asks for the circumference of a DVD with an area of 36π cm2. The circumference C of a circle is related to its area A by the formula C = 2√(Aπ). In this case, we need to substitute the given area of the disc into the formula to calculate the circumference.
First, we'll start by plugging in the area into the formula:
C = 2 √(36π π)
C = 2 √(36)√(π)√(π)
C = 2 × 6 × π
C = 12π
Therefore, the circumference of the disc is 12π cm.