Question

5. The radii of two circles are in the ratio 2:3. What is the ratio of their circumferences?​

Answer 1

Answer:

Let the radii of two circles be r  

1

​  

 and r  

2

​  

.

Then, according to question, we have

2πr  

2

​  

 

2πr  

1

​  

 

​  

=  

3

2

​  

 

⇒  

r  

2

​  

 

r  

1

​  

 

​  

=  

3

2

​  

 

Squaring both the sides, we get,

r  

2

2

​  

 

r  

1

2

​  

 

​  

=  

9

4

​  

 

⇒  

πr  

2

2

​  

 

πr  

1

2

​  

 

​  

=  

9

4

​  

 

So, the ratio of the areas of two circles is 4:9

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