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Region Q, shown here, is defined by
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Question Stats:
46% (02:34) correct
54% (02:41) wrong
based on 149 sessions
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Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
Capture.PNG [ 25.12 KiB | Viewed 1889 times ]
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Joined: 02 Aug 2009
Posts: 7334
Re: Region Q, shown here, is defined by
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Gnpth wrote:
Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
The attachment Capture.PNG is no longer available
Look at the attached figure..
Ans C
Join the parallel lines as shown..
Attachments
IMG_20171126_151118.jpg [ 1.48 MiB | Viewed 1832 times ]
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Re: Region Q, shown here, is defined by
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Gnpth wrote:
Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
The attachment Capture.PNG is no longer available
As we can see the point (6,4) is a centre of the circle. The dash line is a radius wchich is
10 . Circle area =\(\pi * r^2\) \(= 100 *\pi\) =
300 The shaded region is around \(\frac{2}{3}\) of the circle area => \(\frac{2}{3} * 300 = 200\)
Hence, the answer is
C
Attachments
circle1.jpg [ 20.07 KiB | Viewed 1806 times ]
Intern
Joined: 24 Jun 2017
Posts: 6
Re: Region Q, shown here, is defined by
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Vorovski wrote:
Gnpth wrote:
Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
Capture.PNG
As we can see the point (6,4) is a centre of the circle. The dash line is a radius wchich is
10 . Circle area =\(\pi * r^2\) \(= 100 *\pi\) =
300 The shaded region is around \(\frac{2}{3}\) of the circle area => \(\frac{2}{3} * 300 = 200\)
Hence, the answer is
C Can you eloborate how you arrived at 2/3??
Intern
Joined: 24 Jun 2017
Posts: 6
Re: Region Q, shown here, is defined by
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chetan2u wrote:
Gnpth wrote:
Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
Capture.PNG
Look at the attached figure..
Ans C
Join the parallel lines as shown..
Expert can you post a clear cut solution... image is not that clear?
Intern
Joined: 15 Oct 2017
Posts: 30
Location: Ireland
Concentration: Healthcare, Finance
Re: Region Q, shown here, is defined by
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Bhadri1199 wrote:
Vorovski wrote:
Gnpth wrote:
Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
Capture.PNG
As we can see the point (6,4) is a centre of the circle. The dash line is a radius wchich is
10 . Circle area =\(\pi * r^2\) \(= 100 *\pi\) =
300 The shaded region is around \(\frac{2}{3}\) of the circle area => \(\frac{2}{3} * 300 = 200\)
Hence, the answer is
C Can you eloborate how you arrived at 2/3??
The shaded region is around 70% of the circle and 70% is around 2/3.
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Joined: 16 Oct 2010
Posts: 8883
Location: Pune, India
Re: Region Q, shown here, is defined by
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Gnpth wrote:
Region Q, shown here, is defined by
\((x−6)^{2} +(y−4)^{2} \leq 100\),
\(y\geq{0}\), and \(x\geq{0}\).
What is the approximate area of Region Q in square units?
A.between 75 and 125
B.between 125 and 175
C.between 175 and 225
D.between 225 and 275
E.between 275 and 325
Attachment:
Capture.PNG
The shaded region could be seen as sum of three areas: a quarter of a circle and two rectangles (the shaded region is a bit less)
Area of quarter of a circle \(= (\pi * r^2)/4 = (3.14 * 10^2)/4 = 314/4 = 75\) approx
Area of each rectangle \(= 16*4 + 6*10 = 124\)
So total shaded area will be a bit less than 75 + 124 = 199
The reduced area at the top of the top rectangle is less than 6*2/2 = 6
The reduced area at the right of the lower triangle will be even less.
Answer (C)
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Intern
Joined: 21 Feb 2017
Posts: 6
Re: Region Q, shown here, is defined by
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A simpler approach- I drew a square around the entire shaded region, the length is 16 and the height is 14, 16x14 = 224, the shaded region would slightly be less than 224, giving you an answer of C
Intern
Joined: 22 Aug 2018
Posts: 11
Re: Region Q, shown here, is defined by
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Interesting question. However can someone please clarify if this kind of question is indeed it in the scope of GMAT exam?
Re: Region Q, shown here, is defined by
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03 Nov 2018, 02:51
close
46% (02:34) correct 
