tell me the answer it is very necessary for me.
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Answer :
3:5
Note :
- Circumference : The length of the boundary of a circle is called its circumference .
- Mathematically , the length of the circumference of the circle of radius r is given by ; C = 2πr
- Also , the area of the circle with radius r is given by ; A = πr²
Solution :
Here ,
It is given that , the radii of two circles are in ratio 3:5 .
Let the radius of 1st circle be r and that of 2nd circle be R .
Thus ,
r:R= 3:5
Now ,
Let the circumference of 1st circle be c and that of 2nd circle be C .
Thus ,
c = 2πr and C = 2πR
Now ,
=> c/C = 2πr/2πR
=> c/C = r/R
=> c:C = r:R
=> c:C = 3:5
Hence ,
The ratio of the circumferences to the two circles under consideration is 3:5 .
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