The sum of circumference of four small circles of equal radius is equal to the circumference of a bigger circle find the ratio of the area of bigger circle to that of the smaller circle
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2
Answer:
Four small circles having radius=r
bigger circles radius is $$= R.$
circumference of circle is =2πr.
4×2πr=2πR
R=4r
Area=
areaofsmallcircle
areaofbiggercircle
=
π×r×r
π×R×R
=
r
2
R
2
=(
r
R
)
2
=4
2
=16.
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