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A circle with centre O has diameter of length D. AB is a chord on t
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19 Feb 2025, 01:47
19 Feb 2025, 01:47
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Question Stats:
57% (01:17) correct
42% (01:30) wrong based on 7 sessions
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A circle with center ‘O’ has a diameter of length D. AB is a chord on the circle.
Quantity A |
Quantity B |
Perimeter of triangle OAB |
\( \frac{5d}{3} \) |
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A circle with centre O has diameter of length D. AB is a chord on t
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11 Mar 2025, 11:23
11 Mar 2025, 11:23
Expert Reply
In a circle with centre ' O ', has diameter D , so the radius of the circle is $\(\mathrm{D} / 2\)$
Also we have $A B$ as the chord in the circle, so we get the figure as
GRE circle triangle.png [ 56.19 KiB | Viewed 435 times ]
The length of chord $\(A B\)$ must be less than the diameter of the circle i.e. $\(D\)$, so the perimeter of triangle $\(O A B\)$ must be less than $\(D+\frac{D}{2}+\frac{D}{2}=2 D\)$.
Column B quantity i.e. $\(\frac{5 D}{3}\)$ is also less than 2 D , so we cannot compare column A and column B quantities uniquely.
Hence the answer is (D).
Also we have $A B$ as the chord in the circle, so we get the figure as
Attachment:
GRE circle triangle.png [ 56.19 KiB | Viewed 435 times ]
The length of chord $\(A B\)$ must be less than the diameter of the circle i.e. $\(D\)$, so the perimeter of triangle $\(O A B\)$ must be less than $\(D+\frac{D}{2}+\frac{D}{2}=2 D\)$.
Column B quantity i.e. $\(\frac{5 D}{3}\)$ is also less than 2 D , so we cannot compare column A and column B quantities uniquely.
Hence the answer is (D).
gmatclubot
A circle with centre O has diameter of length D. AB is a chord on t [#permalink]
11 Mar 2025, 11:23
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