the sum of circumference of four circles of equal to is equal to the circumference of a circle find the ratio of the area bigger Circle to that the smaller circle
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let the radius of the small four circle be r.let the radius of the bigger circle be R.
circumference=2πr.
2π(r+r+r+r)=2πR.
so 2 π will get cancelled on both sides.
4r=R--------(1)
Ratio of area of bigger circle to that of smaller circle= πR^2/ πr^2= π(4r)^2/ πr^2(from 1)
=16 πr2/ πr^2=16:1
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Answer:
ratio of the area bigger Circle to that the smaller circle is 16:1
Step-by-step explanation:
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