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1)The ratio of their circumferences is 3:4.
2) (i) ratio of their circumferences is 3:5
(ii) ratio of areas is 9:25.
2) (i) ratio of their circumferences is 3:5
(ii) ratio of areas is 9:25.
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Answer:
Step-by-step explanation:
answer 1:Let A1 = 9 and A2 = 16
Area of A1 / Area of A2 = 9 / 16
pi*r1^2 / pi*r2^2 = 9/16
r1 / r2 = 3 / 4
Now circumference is given by 2*pi*r
C1 : C2
= 2*pi*r1 : 2*pi*r2
= 2*pi*3 : 2*pi*4
= 3 : 4
Ratio of circumference is 3 : 4.
answer 2:ii) the radius of those circles be 3x and 5x respectively.
now area of 1st cirlce = π(3x)^2 = 9πx^2
area of 2nd circle = π(5x)^2 = 25πx^2
now their ratio becomes :
area of 1st cirlce: area of 2nd circle
9πx^2 : 25πx^2
= 9:25
i)Circumstance= 2πr ,so circumstance is directly proportional to radius so circumstance ratio is 3:5
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