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O is the center of the circle A O=O B
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11 May 2026, 15:26
11 May 2026, 15:26
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Question Stats:
77% (01:17) correct
22% (01:36) wrong based on 18 sessions
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GRe O is the center of the circle A O=O B.png [ 64.72 KiB | Viewed 604 times ]
\(\begin{aligned}
&O \text { is the center of the circle. }\\
&A O=O B
\end{aligned}\)
Quantity A |
Quantity B |
Area of semicircular region |
Area of triangular region A B C |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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Re: O is the center of the circle A O=O B
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12 May 2026, 09:41
12 May 2026, 09:41
1
Let the radius (AO) = 1 --> diameter (AC) = 2
--> Area (semicircle) = (π*r^2)/2 = π/2
and Area (triangle) = (1/2) * AC * OB = (1/2) * 2 * 1 = 1
π/2 = approximately (22/7)/2 = 22/14 which is greater than 1.
Hence, the answer is A.
--> Area (semicircle) = (π*r^2)/2 = π/2
and Area (triangle) = (1/2) * AC * OB = (1/2) * 2 * 1 = 1
π/2 = approximately (22/7)/2 = 22/14 which is greater than 1.
Hence, the answer is A.
gmatclubot
Re: O is the center of the circle A O=O B [#permalink]
12 May 2026, 09:41
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