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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?
- 3 Answers
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Answer / valarmathijaganathan
ANS:1:2
EXPLANATION:
If a circle is circumscribed around a square, the area of
the circle is π / 2 (about 1.57) times the area of the
square.
If a circle is inscribed in the square, the area of the
circle is π / 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 ? | 27 Yes | 5 No |
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
Therefore Answer= 1/2.
| Is This Answer Correct ? | 16 Yes | 6 No |
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