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A circle with radius r is inscribed in a square. r is greater than or
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07 Feb 2022, 06:45
07 Feb 2022, 06:45
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40% (02:03) correct
59% (01:42) wrong based on 47 sessions
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A circle with radius r is inscribed in a square. r is greater than or equal to 1.
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.
Quantity A |
Quantity B |
The area of the portion of square not in the circle, in square units |
r |
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.
A circle with radius r is inscribed in a square. r is greater than or
[#permalink]
11 Feb 2022, 05:43
11 Feb 2022, 05:43
1
First, for an inscribed circle, in a square, with radius r, the diameter = side of the square.
The area not in the circle =(2r)^2 - πr^2 = 4r^2- πr^2 = r^2 (4- π)
Now, r ≥ 1; if r =1, then quantity B is greater; and, if r = 2, then quantity A is greater; thus, the answer is D.
The area not in the circle =(2r)^2 - πr^2 = 4r^2- πr^2 = r^2 (4- π)
Now, r ≥ 1; if r =1, then quantity B is greater; and, if r = 2, then quantity A is greater; thus, the answer is D.
gmatclubot
A circle with radius r is inscribed in a square. r is greater than or [#permalink]
11 Feb 2022, 05:43
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