SOLUTION: if the radius of circle A is twice the length of the radius of Circle B, does that mean that circle A has twice the area of circle B? Explain whiy or why not.

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Question 80986: if the radius of circle A is twice the length of the radius of Circle B, does that mean that circle A has twice the area of circle B? Explain whiy or why not.
Answer by stanbon(48526) (Show Source):
You can put this solution on YOUR website!
if the radius of circle A is twice the length of the radius of Circle B, does that mean that circle A has twice the area of circle B? Explain whiy or why not.
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Let the 1st circle have radius = x ; its area is (pi)x^2
Then the 2nd circle will have radius = 2x ;
its are will be (pi)(2x)^2 =(pi)4x^2 = 4[(pi)x^2]
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Conclusion: The 2nd circle will have 4 times the area of the 1st circle.
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Cheers,
Stan H.