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In the figure shown, a circle with area is inscribed in a square.
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07 Feb 2023, 02:32
07 Feb 2023, 02:32
Expert Reply
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Question Stats:
45% (01:43) correct
54% (01:07) wrong based on 22 sessions
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GRE In the figure shown, a circle with area π is inscribed in a square.+.jpg [ 9.35 KiB | Viewed 1583 times ]
In the figure shown, a circle with area π is inscribed in a square.
Quantity A |
Quantity B |
The combined area of the shaded regions |
1 |
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.
Re: In the figure shown, a circle with area is inscribed in a square.
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20 Feb 2023, 07:21
20 Feb 2023, 07:21
Expert Reply
OE
Use the area of the circle to determine the area of the square, then subtract the area of the circle from the area of the square to determine the shaded region. The formula for area of a circle is A = πr2. If you substitute the area of this circle for A, you can determine the radius.
The radius of the circle is 1, therefore, the diameter of the circle is 2, as is each side of the square. A square with sides of 2 has an area of 4.
\(A=4-\pi\)
B is 1
B is the answer
Use the area of the circle to determine the area of the square, then subtract the area of the circle from the area of the square to determine the shaded region. The formula for area of a circle is A = πr2. If you substitute the area of this circle for A, you can determine the radius.
The radius of the circle is 1, therefore, the diameter of the circle is 2, as is each side of the square. A square with sides of 2 has an area of 4.
\(A=4-\pi\)
B is 1
B is the answer
gmatclubot
Re: In the figure shown, a circle with area is inscribed in a square. [#permalink]
20 Feb 2023, 07:21
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