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Square ABCD has a side length of 4. BC is the diameter of
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21 Oct 2018, 02:26
21 Oct 2018, 02:26
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Question Stats:
63% (01:16) correct
36% (01:08) wrong based on 19 sessions
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circle.jpg [ 11.49 KiB | Viewed 5265 times ]
Square ABCD has a side length of 4. BC is the diameter of the circle. Which of the following is greater than or equal to the area of the shaded region, in square units?
Indicate all possible choices.
A. \(16 − 16\pi\)
B. \(16 − 4\pi\)
C. \(16 − 2\pi\)
D. \(16 + \pi\)
E. \(16 + 4\pi\)
Re: Square ABCD has a side length of 4. BC is the diameter of
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21 Oct 2018, 22:35
21 Oct 2018, 22:35
1
Area of the square ABCD , \(4^2 = 16\)
Area of ARC BC ,
\(\frac{180}{360}*(\frac{1}{4}*pi*d^2)\) [d= diameter= 4]
\(\frac{180}{360}*(\frac{1}{4}*pi*16)\)
\(2*pi\)
So the shaded area must be equal or greater than \(16-2*pi\)
So the possible answers are C, D, E
Area of ARC BC ,
\(\frac{180}{360}*(\frac{1}{4}*pi*d^2)\) [d= diameter= 4]
\(\frac{180}{360}*(\frac{1}{4}*pi*16)\)
\(2*pi\)
So the shaded area must be equal or greater than \(16-2*pi\)
So the possible answers are C, D, E
In the above square ABCD, the side AB has a length of 4. The square i
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02 Feb 2022, 07:00
02 Feb 2022, 07:00
Expert Reply
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GRE In the above square ABCD, the side AB has a length of 4.jpg [ 13.91 KiB | Viewed 2602 times ]
In the above square ABCD, the side AB has a length of 4. The square is overlaid with a circle, with a diameter BC. Which of the following are greater than or equal to the area of the shaded region, in square units?
Indicate all such amounts.
A \(16 - 16\pi\)
B \(16 - 4\pi\)
C \(16 - 2\pi\)
D \(16 + \pi\)
E \(16 + 4\pi\)
