The ratio of the areas of the in-circle and the circum-circle of a square is:a)1 : 2b)andradic;2 : 1c)1 : andradic;2d)2 : 1Correct answer is option 'A'. Can you explain this answer?

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The ratio of the areas of the in-circle and the circum-circle of a square is:

a)
1 : 2
b)
√2 : 1
c)
1 : √2
d)
2 : 1

Correct answer is option 'A'. Can you explain this answer?

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Verified Answer

The ratio of the areas of the in-circle and the circum-circle of a squ...

For a square of side length = s,
Radius of incircle of the square = s/2
Radius of circum-circle of the square = s/√2
Area of the incircle = π × (s/2)²
Area of the circum-circle = π × (s/√2)²
∴ The ratio of the area of the incircle and circum-circle of the square is 1 : 2

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The ratio of the areas of the in-circle and the circum-circle of a squ...

1 : π

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The ratio of the areas of the in-circle and the circum-circle of a square is:a)1 : 2b)√2 : 1c)1 : √2d)2 : 1Correct answer is option 'A'. Can you explain this answer?

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