the sum of a circumference of 4 small circles of equal radius is equal to the circumference of bigger circle find the ratio of the area of the bigger Circle to that of the smaller circle
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Four small circle having radius=r
bigger circles radius is=R
Circumference of circle is =2×π×r
4×2πr=2πR
R=4r
Area=area of bigger circle/area of small circle
Area=π×R×R/π×r×r
Area=(R/r)^2(put value of R in given )
=4×4
=16
Four small circle having radius=r
bigger circles radius is=R
Circumference of circle is =2×π×r
4×2πr=2πR
R=4r
Area=area of bigger circle/area of small circle
Area=π×R×R/π×r×r
Area=(R/r)^2(put value of R in given )
=4×4
=16
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