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On a map of California, 1 cm corresponds to 50 km. What is the ratio of the map's area to the actual area of california? 

 

The areas of 2 circles are 36pi and 64pi . What is the ratio of the diameters? of the circumferences?

 

Help plz. I'm not good at ratios...

 Jan 28, 2016

Best Answer 

 #3
avatar+129847 
+10

If 1cm = 50km......then, in area terms,  [1cm]^2  = [50km]^2

 

 

36pi   = radius   =  6  diameter  = 12

64 pi  = radius = 8     diameter  = 16

 

Ratio of smaller circle's diameter to larger circle's diameter  = 12/16 =  3/4

 

Circumference ratio is exactly the same, too........3/4

 

To see why.....circumference of smaller circle  = pi*12 .....circumference of larger circle = pi*16

 

So.....   pi*12 / pi*16   =   12/16   = 3/4

 

 

 

cool cool cool

 Jan 28, 2016
 #1
avatar+8581 
0

On a map of California, 1 cm corresponds to 50 km. What is the ratio of the map's area to the actual area of california? 

 

The areas of 2 circles are 36pi and 64pi . What is the ratio of the diameters? of the circumferences?

 

 

First: which formula do you wish to use??

 Jan 28, 2016
 #2
avatar+709 
0

I really don't care which formula. I just need to know how to solve questions like these.

 Jan 28, 2016
 #3
avatar+129847 
+10
Best Answer

If 1cm = 50km......then, in area terms,  [1cm]^2  = [50km]^2

 

 

36pi   = radius   =  6  diameter  = 12

64 pi  = radius = 8     diameter  = 16

 

Ratio of smaller circle's diameter to larger circle's diameter  = 12/16 =  3/4

 

Circumference ratio is exactly the same, too........3/4

 

To see why.....circumference of smaller circle  = pi*12 .....circumference of larger circle = pi*16

 

So.....   pi*12 / pi*16   =   12/16   = 3/4

 

 

 

cool cool cool

CPhill Jan 28, 2016
 #4
avatar+709 
+5

All hail CPHILL

 Jan 28, 2016

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