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The circumference of a circle is 4. Which of the following values can
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17 Oct 2023, 00:16
17 Oct 2023, 00:16
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66% (01:39) correct
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The circumference of a circle is \(4 \pi\). Which of the following values can be the area of a rectangle inscribed in the circle?
Indicate all possible values.
(A) 3
(B) 5
(C) 8
(D) 10
(E) 12
Indicate all possible values.
(A) 3
(B) 5
(C) 8
(D) 10
(E) 12
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: The circumference of a circle is 4. Which of the following values can
[#permalink]
12 Nov 2023, 01:57
12 Nov 2023, 01:57
1
For a given perimeter, a square maximizes the area of any rectangle.
Therefore, we can image the maximum area to be that of a square with a diagonal equal to the diameter of the circle.
Since C=pi*d we know that the diameter is 4.
If 4 is the diagonal of a square, then the side must be 2root2.
2root2 squared is 8, which is the largest area possible.
Therefore A,B, and C are possible.
Therefore, we can image the maximum area to be that of a square with a diagonal equal to the diameter of the circle.
Since C=pi*d we know that the diameter is 4.
If 4 is the diagonal of a square, then the side must be 2root2.
2root2 squared is 8, which is the largest area possible.
Therefore A,B, and C are possible.
gmatclubot
Re: The circumference of a circle is 4. Which of the following values can [#permalink]
12 Nov 2023, 01:57
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