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The area of the largest circle
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31 Mar 2021, 02:31
31 Mar 2021, 02:31
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Question Stats:
71% (00:55) correct
28% (01:24) wrong based on 32 sessions
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Quantity A |
Quantity B |
The area of the largest circle that can be cut out of a square piece of paper with the side of 3.4" |
The area of the largest circle that can be cut out of a rectangular piece of paper with a length of 3.2" and a width of 5" |
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.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: The area of the largest circle
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31 Mar 2021, 07:19
31 Mar 2021, 07:19
1
Carcass wrote:
Quantity A |
Quantity B |
The area of the largest circle that can be cut out of a square piece of paper with the side of 3.4" |
The area of the largest circle that can be cut out of a rectangular piece of paper with a length of 3.2" and a width of 5" |
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.
When a circle with radius \(r\) is inscribed in a square with side length \(a\), \(a = 2r\)
When a circle with radius \(r\) is inscribed in a rectangle with sides \(L\), and \(B\), \(r = \frac{L}{2}\) or \(\frac{B}{2}\) whichever is shorter
Col. A: \(π(\frac{a}{2})^2\)
Col. B: \(π(\frac{L}{2})^2\)
Col. A: \(a\)
Col. B: \(L\)
Hence, option A
General Discussion
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Re: The area of the largest circle
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02 Jun 2021, 02:45
02 Jun 2021, 02:45
KarunMendiratta wrote:
Carcass wrote:
Quantity A |
Quantity B |
The area of the largest circle that can be cut out of a square piece of paper with the side of 3.4" |
The area of the largest circle that can be cut out of a rectangular piece of paper with a length of 3.2" and a width of 5" |
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.
When a circle with radius \(r\) is inscribed in a square with side length \(a\), \(a = 2r\)
When a circle with radius \(r\) is inscribed in a rectangle with sides \(L\), and \(B\), \(r = \frac{L}{2}\) or \(\frac{B}{2}\) whichever is shorter
Great information!
Col. A: \(π(\frac{a}{2})^2\)
Col. B: \(π(\frac{L}{2})^2\)
Col. A: \(a\)
Col. B: \(L\)
Hence, option A
