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The area of the sector $O A B$ is one quarter of a circle of diameter
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06 May 2025, 13:44
06 May 2025, 13:44
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Question Stats:
22% (02:07) correct
77% (02:28) wrong based on 9 sessions
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The area of the sector $O A B$ is one quarter of a circle of diameter 14. The length of $O C$ is 3 . The arcs \(A D B\)$ and $\(A E B\)$ are of the same length.
GRE geometry hal cone.png [ 11.54 KiB | Viewed 1208 times ]
Attachment:
GRE geometry hal cone.png [ 11.54 KiB | Viewed 1208 times ]
Quantity A |
Quantity B |
30 |
Area of the shaded region |
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Re: The area of the sector $O A B$ is one quarter of a circle of diameter
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09 May 2025, 04:45
09 May 2025, 04:45
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Area of the sector $\(O A B=\frac{1}{4} \times \frac{22}{7} \times 7 \times 7=\frac{77}{2}\)$
Area of $\(\Delta^{l e} O A B=\frac{49}{2}\)$
Area of $\(B E A=\frac{77}{2}-\frac{49}{2}=14\)$
Area of $\(B D A E=28\)$
Area of $\(B C D \approx \frac{9}{2}=4.5\)$
Therefore, Column B $\(=32.5\)$
Column $\(\mathrm{A}<\)$ Column B . Therefore, the correct answer is $B$.
Area of $\(\Delta^{l e} O A B=\frac{49}{2}\)$
Area of $\(B E A=\frac{77}{2}-\frac{49}{2}=14\)$
Area of $\(B D A E=28\)$
Area of $\(B C D \approx \frac{9}{2}=4.5\)$
Therefore, Column B $\(=32.5\)$
Column $\(\mathrm{A}<\)$ Column B . Therefore, the correct answer is $B$.
gmatclubot
Re: The area of the sector $O A B$ is one quarter of a circle of diameter [#permalink]
09 May 2025, 04:45
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