Question

if ratio of area of two circle are 4:9 then what is the ratio of their circumference​

Answer 1

Answer:

2/3 is the answer.........

Answer 2

Answer:

Step-by-step explanation:A  

1

​  

 = Area of first circle

A  

2

​  

 = Area of second circle

given,

A  

1

​  

:A  

2

​  

=9:4

Let,

r  

1

​  

 = radius of first circle

r  

2

​  

 = radius of second circle

Now,

A  

1

​  

=πr  

1

2

​  

 and A  

2

​  

=πr  

2

2

​  

 

⇒  

A  

2

​  

 

A  

1

​  

 

​  

=  

πr  

2

2

​  

 

πr  

1

2

​  

 

​  

 

⇒  

4

9

​  

=  

r  

2

2

​  

 

r  

1

2

​  

 

​  

 

⇒(  

2

3

​  

)  

2

=(  

r  

2

​  

 

r  

1

​  

 

​  

)  

2

 

⇒  

2

3

​  

=  

r  

2

​  

 

r  

1

​  

 

​  

 

∴r  

1

​  

:r  

2

​  

=3:2