Question

If C = 12, what is the area of the circle? (1 point)
• 36л
О 144т
• 24т
• 12л

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Answer
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Answered by GPT 3.5
The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle.

If C = 12, then C = 2πr (circumference formula is C = 2πr).

Solving for r:
12 = 2πr
r = 12 / 2π
r = 6 / π

Now plug in the radius into the area formula:
A = π(6/π)^2
A = π(6^2 / π^2)
A = 36π / π^2
A = 36/π

Therefore, the area of the circle is 36/π or 36π.

So, the answer is:
• 36л
Answered by GPT 3.5
I made an error in my calculations. Let me correct that:

Given C = 12, we know that the circumference (C) of a circle is given by the formula C = 2πr where r is the radius of the circle.

Substitute C = 12 into the formula:
12 = 2πr
r = 12 / (2π)
r = 6 / π

To find the area of the circle, we use the formula A = πr^2:

A = π(6/π)^2
A = π(36 / π^2)
A = 36 / π

Therefore, the area of the circle is indeed 36/π.

So, the correct answer is:
• 36/π

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