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Updated on: 17 Jun 2013, 13:22
Originally posted by guerrero25 on 17 Jun 2013, 13:17.
Last edited by Bunuel on 17 Jun 2013, 13:22, edited 2 times in total.
Last edited by Bunuel on 17 Jun 2013, 13:22, edited 2 times in total.
Edited the question.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
63% (02:43) correct
37%
(02:58)
wrong
based on 95
sessions
History
Date
Time
Result
Not Attempted Yet
Attachment:
Geometry_PS.png [ 34.29 KiB | Viewed 8381 times ]
B. 18 Pi r /11
C. 11 Pi r /18
D. 9 Pi r /8
E. 4 Pi r /9
arpanpatnaik
GMAT 1: 640 Q42 V37
Posts: 101
17 Jun 2013, 14:33
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guerrero25
The answer is [C].
From the figure we can calculate the central angle for the arc BC as 50 degree using the fact that (theta/360) * 2*pi*radius = 5 * pi * r / 18.
Then we know that angle CAB = 50/2 = 25 degree. Hence in traingle ABC, we have angle ACB = 180 - (BAC + ABC) = 55 degree. Now the central angle AOB will be twice of the same. Hence AOB = 110 degrees.
Finally using the same under the arc calculation formula (theta/360) * 2*pi*radius: Arc Length of AB minor = 11 Pi r /18. Hence [C].
Regards,
A
02 Jun 2015, 22:47
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anu1706
Soluiton : C.
the center angle made by the minor arc ABC is 160 degree. ( 2 * 80) Becasue the angle abc is 100.
From this u can calculate length of arc (minor) ABC and subtract the given length of BC arc (minor).
this is a theorm. google it or look for GMAT club Math refresher. Some good concepts are there.
