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In the figure, the visible gray area within the larger circle is equal to three times the area of the white circular region. What is the ratio of the radius of the small circle to the radius of the large circle? Express your answer as a common fraction.

 Jan 12, 2019

Best Answer 

 #1
avatar+532 
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if the radius of the small circle is x, and radius of the larger circle is y, then we are looking for x/y. y^2*pi-x^2*pi=3*x^2*pi, so y^2=4x^2, y=2x, and x/y=1/2.

 

HOPE THIS HELPED!!

 Jan 12, 2019

2+0 Answers

 #1
avatar+532 
+2
Best Answer

if the radius of the small circle is x, and radius of the larger circle is y, then we are looking for x/y. y^2*pi-x^2*pi=3*x^2*pi, so y^2=4x^2, y=2x, and x/y=1/2.

 

HOPE THIS HELPED!!

asdf335 Jan 12, 2019
 #2
avatar+129852 
0

Well done, asdf  !!!!!

 

 

 

cool cool cool

CPhill  Jan 12, 2019

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