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The diameter of a circle is equal to a diagonal of a square with side

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Carcass
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The diameter of a circle is equal to a diagonal of a square with side [#permalink] New post   02 Feb 2022, 05:45
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The diameter of a circle is equal to a diagonal of a square with side 4.

Quantity A
Quantity B
The circumference of the circle
\(20 \sqrt{2}\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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The diameter of a circle is equal to a diagonal of a square with side [#permalink] New post   25 Feb 2022, 22:45
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Carcass wrote:
The diameter of a circle is equal to a diagonal of a square with side 4.

Quantity A
Quantity B
The circumference of the circle
\(20 \sqrt{2}\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Side of square = \(4\)
Diagonal of square = \(side\sqrt{2}\) = \(4\sqrt{2}\) = Diameter of circle (D)

Circumference = \(πD = π(4\sqrt{2})\)

Col. A: \(π(4\sqrt{2})\)
Col. B: \(20\sqrt{2}\)

Dividing both sides by \(4\sqrt{2}\);

Col. A: \(π = 3.14\)
Col. B: \(5\)

Col. A < Col. B
Hence, option B
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The diameter of a circle is equal to a diagonal of a square with side [#permalink]
25 Feb 2022, 22:45
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