Latest Microsoft Aptitude Question SOLUTION: four concentric circles r given .the radius of 1st circle is x.next is 2x,then 3x and 4x. given that area b/w 2nd and 1st is A and 4th and 3rd circles being B.find ratio of A to B

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four concentric circles r given .the radius of 1st circle is x.next is 2x,then 3x and 4x. given that area b/w 2nd and 1st is A and 4th and 3rd circles being B.find ratio of A to B

Solution

area of first circle = pi*(x)^2 = pi*x^2
area of second circle = pi*(2x)^2 = 4*pi*x^2
area of third circle = pi*(3x)^2 = 9*pi*x^2
area of fourth circle = pi*(4x)^2 = 16*pi*x^2
area b/w 1st and 2nd circles = 3*pi*x^2
area b/w 3rd and 4th circles = 7*pi*x^2
so ratio = 3:7

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Asked In Microsoft (13 years ago)

Solved aruna Read Solution (2)

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aruna  (13 years ago)

3:7

Area A=2*pie*3X^2
Area B=2*pie*7x^2
A:B=3:7

Is this solution Helpfull? Yes (6) | No (2)  

Ann Mary Jolly  (12 years ago)

ANS : 3/7
Area of nth circle = pi*(nx)^2
area b/w 1st and 2nd circles = pi*((2x)^2-(x)^2)
A = 3*pi*x^2
area b/w 3rd and 4th circles = pi*((4x)^2-(3x)^2)
B = 7*pi*x^2
A/B = 3/7

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