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?

Answers were Sorted based on User's Feedback

There are two circles, one circle is inscribed and another circle is circumscribed over a square. ..

ANS:1:2

EXPLANATION:

If a circle is circumscribed around a square, the area of
the circle is &#960; / 2 (about 1.57) times the area of the
square.
If a circle is inscribed in the square, the area of the
circle is &#960; / 4 (about 0.79) times the area of the square.

SO,

Ratio of area of inner to outer circle is,

=(pi/2*a^2)/(pi/4*a^2)
= 1/2
Ans=1:2

 Is This Answer Correct ? 26 Yes 5 No

There are two circles, one circle is inscribed and another circle is circumscribed over a square. ..

Answer / amit jha

1:2

 Is This Answer Correct ? 17 Yes 3 No

There are two circles, one circle is inscribed and another circle is circumscribed over a square. ..

Answer / amit uniyal

the inner circle will have radius as half the square's side
( say 'a')... so radius be a/2...
the outer circle will have radius as half of diagonal i.e. a
(2)^0.5divided by 2.
so ratio will be = (pi*r1^2)/(pi*r2^2)= (a^2/4)/(a^2/2)=1/2

 Is This Answer Correct ? 15 Yes 6 No

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