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The area of a circle is equal to the area of a square

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Carcass
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The area of a circle is equal to the area of a square [#permalink] New post   18 Nov 2022, 08:32
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The area of a circle is equal to the area of a square


Quantity A
Quantity B
The circumference of the circle
The perimeter of the square



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


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B
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Re: The area of a circle is equal to the area of a square [#permalink] New post   29 Nov 2022, 00:28
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Carcass wrote:
The area of a circle is equal to the area of a square


Quantity A
Quantity B
The circumference of the circle
The perimeter of the square



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




Assume are of circle as \(16π\)
Therefore, radius = 4 and side of square = \(4\sqrt{π}\)

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

Col. A: \(8π\)
Col. B: \(16\sqrt{π}\)

Dividing both sides by \(8\sqrt{π}\):

Col. A: \(\sqrt{π}\)
Col. B: 2

Col. A < Col. B
Hence, option B
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Re: The area of a circle is equal to the area of a square [#permalink] New post   13 Apr 2024, 07:11
Hello from the GRE Prep Club BumpBot!

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Re: The area of a circle is equal to the area of a square [#permalink]
13 Apr 2024, 07:11
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