+0  
 
0
51
2
avatar

What is the ratio of the smaller circle's area to the larger circle's area?

Give your answer in fully simplified form. It should look like "x:y", where x and y are replaced by integers.

 

 

 

Guest Nov 9, 2017
edited by Guest  Nov 9, 2017

Best Answer 

 #1
avatar+338 
+2

Assuming that your picture means that the diameter of the smaller square is the radius of the bigger square, here is the solution. 

 

Lets say that the radius of the small circle is x, hence the radius of the larger circle is 2x. Using the area of circles formula: a = πr^2, where r is the radius, the area of the smaller circle is πx^2 and the area of larger circle is 4πx^2

 

The πx^2 cancels out, leaving us with 1:4.

 

The simpler solution is that if two shapes are similar, the ratio of their area will be one of the corresponding side's square. In this case, the radius. 

supermanaccz  Nov 9, 2017
Sort: 

2+0 Answers

 #1
avatar+338 
+2
Best Answer

Assuming that your picture means that the diameter of the smaller square is the radius of the bigger square, here is the solution. 

 

Lets say that the radius of the small circle is x, hence the radius of the larger circle is 2x. Using the area of circles formula: a = πr^2, where r is the radius, the area of the smaller circle is πx^2 and the area of larger circle is 4πx^2

 

The πx^2 cancels out, leaving us with 1:4.

 

The simpler solution is that if two shapes are similar, the ratio of their area will be one of the corresponding side's square. In this case, the radius. 

supermanaccz  Nov 9, 2017
 #2
avatar
+1

hallelujah! thx so much. Praise the Almighty God.

Guest Nov 9, 2017

7 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details