Latest 3i-Infotech Aptitude Question SOLUTION: There are two circles, one circle is inscribed and another circle is circumscribed over a square. What is the ratio of area of inner to outer circle?

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There are two circles, one circle is inscribed and another circle is circumscribed over a square. What is the ratio of area of inner to outer circle?

Asked In 3i-Infotech sawan kumar (12 years ago)

Solved suchandra raavi Read Solution (3)

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Read Solution (3) :

suchandra raavi  (12 years ago)

First see Q8 diagram in:
http://writer.zoho.com/public/suchandra/ques
For simplicity consider side of the square as 1. Now radius of inner circle =1/2. Formula for diagonal of the square = side*sqrt(2) = 1*sqrt(2). Half the diagonal = (1/2)*sqrt(2) = 1/sqrt(2). We got radiuses of both circles. So calculate areas and find ratio. Inner circle area= pi*(1/2)^2 and Outer circle = pi*(1/sqrt(2))^2. Divide both, you will get ratio as 1:2

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Dr.Dipin Singh  (12 years ago)

ratio = 1/2

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Kishore Behera  (9 years ago)

area of outer circle is Π((√2*a)/2)^2 . And inner circle is Π*a^2/4..Dividing both we are getting 1:2

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