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The owner of an amusement park created a circular maze that has a diamater of 50 feet. If the owner doubles the radius of the maze, which statement describes what will happen to the circumherence and area of the maze?

a.the circumeference and area will double.

b.the circumference and area will quadruple.

 May 2, 2016
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Neither one

 

Call the original radius, r

 

Then the original area  = pi* r^2    and the original circumference  = 2pi* r

 

If he doubles the radius, the new area becomes pi *(2r)^2  = 4pi*r^2  = 4 times as much

 

But......the new circumference will just be  2pi * (2r)  = 4pi*r   = only 2 times as much

 

 

cool cool cool

 May 2, 2016

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