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17 Oct 2020, 12:26
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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:
54% (01:52) correct
46%
(01:50)
wrong
based on 87
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Not Attempted Yet
If the length of arc ACB in the circle above is \(5\pi\), is the length of AB greater than the length of CD ?
(1) The length of AB equals the circle’s diameter.
(2) The length of CD is 5.
Attachment:
2020-10-17_23-25-04.png [ 20.57 KiB | Viewed 2464 times ]
The greatest chord in a circle is the diameter. But both AB and CD can be equal too.
So we can't say A is sufficient
B gives the length of CD , but how is this length related to 5p,
Insufficient
Together they are insufficient too. As we don't know CD's length .
Posted from my mobile device
So we can't say A is sufficient
B gives the length of CD , but how is this length related to 5p,
Insufficient
Together they are insufficient too. As we don't know CD's length .
Posted from my mobile device
19 Oct 2020, 17:48
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Bunuel
Note AB and CD are not necessarily chords that go through the center of the circle. (Usually the question would state AB and CD are simply chords).
Statement 1:
We don't know if AB is greater than CD or equal to CD so insufficient. We also know the radius is \(\frac{2*5*\pi }{ (2*\pi)}\) = 5, and AB = 5*2 = 10.
Statement 2:
Need to know AB, insufficient.
Combined:
Now we know AB > CD so sufficient.
Ans: C
