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Video DVDs (ignoring the hole in the middle) have an area of 36π cm^2 The formula to calculate the circumference, C, for a circle is c=2√Aπ, where A is the area of the circle. What is the circumference of the disc?

12πcrr
18πcrr
24πcrr
30πcrr

2 Answers

3 votes

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.

User Thomas Lee
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7.1k points
5 votes
it's 12π, because √36=6. 6×2= 12 :)
User Russds
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