SOLUTION: What happens to the Area of a circle if you double the radius? I know the answer is the area would be four fold but I don't know why. I though the area would be doubled. What h

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Question 359123: What happens to the Area of a circle if you double the radius? I know the answer is the area would be four fold but I don't know why. I though the area would be doubled.
What happens to the Area of a circle if you square the radius?

Answer by stanbon(57337) About Me  (Show Source):
You can put this solution on YOUR website!
What happens to the Area of a circle if you double the radius? I know the answer is the area would be four fold but I don't know why. I thought the area would be doubled.
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Let original area = (pi)r^2
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If you couble the radius, area = (pi)(2r)^2 = 4(pi)r^2
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What happens to the Area of a circle if you square the radius?
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If you square the radius, area = (pi)(r^2)^2 = r^2
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Cheers,
Stan H.