GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Square ABCD has a side length of 4. BC is the diameter of
[#permalink]
21 Oct 2018, 02:26
21 Oct 2018, 02:26
Expert Reply
00:00
Question Stats:
63% (01:16) correct
36% (01:08) wrong based on 19 sessions
Hide Show timer Statistics
Attachment:
circle.jpg [ 11.49 KiB | Viewed 5185 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
[#permalink]
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
[#permalink]
02 Feb 2022, 07:00
02 Feb 2022, 07:00
Expert Reply
Attachment:
GRE In the above square ABCD, the side AB has a length of 4.jpg [ 13.91 KiB | Viewed 2506 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 \(16 + 4\pi\)
