SOLUTION: The radius of one circle is twice the size of another circle's radius. Is the area of the first circle twice the area of the other circle? Why or Why not?

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Question 397046: The radius of one circle is twice the size of another circle's radius. Is the area of the first circle twice the area of the other circle? Why or Why not?
Found 2 solutions by stanbon, richard1234:
Answer by stanbon(75887) (Show Source):
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The radius of one circle is twice the size of another circle's radius. Is the area of the first circle twice the area of the other circle? Why or Why not?
0 solutions

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No
Area of smaller circle = (pi)r^2
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Area of larger circle = (pi)(2r)^2 = 4[(pi)r^2]
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The one with larger radius is 4 times the area of the smaller circle.
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Cheers,
Stan H.

Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website!
The area is four times as much. If 2r and r are the radii of the first and second circles respectively, then the area of the first circle is , and the area of the second circle is .