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In this diagram, the circle is inscribed in a square
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15 Nov 2022, 01:01
15 Nov 2022, 01:01
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In this diagram, the circle is inscribed in a square
GRE circle inside a square.jpg [ 11.82 KiB | Viewed 1974 times ]
ABCD is a square. The circle has a radius r
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.
Attachment:
GRE circle inside a square.jpg [ 11.82 KiB | Viewed 1974 times ]
ABCD is a square. The circle has a radius r
Quantity A |
Quantity B |
Length of diagonal AC |
\(\frac{5r}{2}\) |
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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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: In this diagram, the circle is inscribed in a square
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21 Nov 2022, 08:11
21 Nov 2022, 08:11
Solution please...
In this diagram, the circle is inscribed in a square
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21 Nov 2022, 08:49
21 Nov 2022, 08:49
Expert Reply
Attachment:
GRE circle inside a square.jpg [ 14.13 KiB | Viewed 1720 times ]
The diagonal ACV is actually the diameter of the circle. From this we can also conclude that the two side of the square are twice the radius of the circle. As such, 2r
Now we can setup all the necessary to find D
(2r)^2+(2r)^2=d^2
Solve and we do have \(d=\sqrt{8} r\)
Comparing \(\sqrt{8} r\) and \(\frac{5r}{2}\) clearly A > B
A is the answer
