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06 Jul 2021, 03:15
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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:
5%
(low)
Question Stats:
91% (01:12) correct
9%
(01:27)
wrong
based on 122
sessions
History
Date
Time
Result
Not Attempted Yet
If point O is the center of the circle in the figure above, what is the radius of the circle?
A. 1
B. 2
C. 2.5
D. \(\pi\)
E. 4
Attachment:
2021-06-18_13-23-55.png [ 23.55 KiB | Viewed 5324 times ]
06 Jul 2021, 05:50
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Bunuel
All I know about geometry in GMAT PS is that “figures are drawn as accurately as possible” (unless otherwise stated, which is rare). The arc, a little more than 3/2, looks only a bit smaller than the radius. So only B and C are feasible. C looks to big, so I’m going with B.
For the record: I know all about all of the math on the GMAT, including geometry. In fact, I quickly did the calculations in my head to make sure that B was in fact the correct answer. But this should not detract from the idea that figures in problem-solving are indeed drawn to scale and so can be carefully(!) eyeballed when one is stuck.
Personally, I’ve been known to put my fingers right up to the screen to make my careful eyeball estimations. Who cares how I get to the answer as long as I do so in under two minutes.
Posted from my mobile device
06 Jul 2021, 06:36
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AlexTheTrainer
That used to be true in the old days. The test instructions still say that, but if you look at this official GMATPrep question:
https://gmatclub.com/forum/in-the-figur ... 85154.html
the diagram is not to scale (and is very misleading), but the question doesn't say the diagram is not to scale. So I'm not sure these days to what extent test takers should trust GMAT PS diagrams (to be fair, that's the only misleading official diagram I've seen, so they're likely trustworthy the vast majority of the time).
It definitely can be useful to estimate answers from diagrams, but because of the question I linked to above, the safest thing to do is to draw the diagrams yourself, and estimate based on what you've drawn. Of course in this particular question, it won't matter at all, since the diagram is clearly to scale (we'd only need to redraw it if the 45 degree angle didn't look like a 45 degree angle). And if we wanted to solve this question properly, a 45 degree angle is 1/8 of a circle (180 is half, 90 is a quarter, 45 is an eighth), so π/2 is one eighth of the circumference, and the circumference is 4π, and since 2πr is the circumference, r = 2.
