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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:18) correct
18%
(01:20)
wrong
based on 97
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History
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If the circle above has center O and circumference \(12\pi\), then the perimeter of sector ABCO is
A. 4 pi + 6
B. 4 pi+ 12
C. 8 pi + 6
D. 8 pi+ 12
E. 8 pi+ 24 
Circle.GIF [ 2.19 KiB | Viewed 13586 times ]
Why the answers have got + 12 ? Any idea? I got 4 pi but +6 and + 12 are beyond me. can you please help?
A. 4 pi + 6
B. 4 pi+ 12
C. 8 pi + 6
D. 8 pi+ 12
E. 8 pi+ 24
Attachment:
Circle.GIF [ 2.19 KiB | Viewed 13586 times ]
Why the answers have got + 12 ? Any idea? I got 4 pi but +6 and + 12 are beyond me. can you please help?
07 Mar 2012, 22:09
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enigma123
Based on official answer the question should read:
If the circle above has center O and circumference \(12\pi\), then the perimeter of sector ABCO is
A. 4 pi + 6
B. 4 pi+ 12
C. 8 pi + 6
D. 8 pi+ 12
E. 8 pi+ 24
The perimeter of of sector ABCO is (radius AO) + (radius CO) + (minor arc AC).
The circumference is \(12\pi\): \(2\pi{r}=12\pi\) --> \(r=6\);
Since angle AOC is 120 degrees then minor arc AC is \(\frac{120}{360}*circumference=4\pi\);
So, the perimeter of of sector ABCO is (radius AO) + (radius CO) + (minor arc AC) = \(6+6+4\pi=4\pi+12\).
Answer: B.
