the ratio between circumference of 2 circles is 4:9.find the ratio between their areas
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ratio of two circles radii = r:R
ratio of circumferences of two circles = 4:9
2*pi*r/2*pi*R = 4:9
r/R =4:9-----(1)
ratios of areas of two circles = pi*r²/pi*R²
= r²/R²
= (r/R)²
[from (1)]
= (4/9)²
= 16/81
= 16:81
ratio of circumferences of two circles = 4:9
2*pi*r/2*pi*R = 4:9
r/R =4:9-----(1)
ratios of areas of two circles = pi*r²/pi*R²
= r²/R²
= (r/R)²
[from (1)]
= (4/9)²
= 16/81
= 16:81
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