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AB, BC, and AC
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01 Oct 2020, 00:57
01 Oct 2020, 00:57
Expert Reply
00:00
Question Stats:
92% (02:35) correct
7% (03:48) wrong based on 26 sessions
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GRE what is the area of the shaded region.png [ 8.92 KiB | Viewed 1733 times ]
\(\overline{AB}\), \(\overline{BC}\), and \(\overline{AC}\) are diameters of the three circles shown above. If \(BC = 4\) and \(AB = 5BC\), what is the area of the shaded region?
A. \(48\pi\)
B. \(24\pi\)
C. \(12\pi\)
D. \(6\pi\)
E. \(3\pi \)
Re: AB, BC, and AC
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01 Oct 2020, 01:10
01 Oct 2020, 01:10
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Re: AB, BC, and AC
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01 Oct 2020, 02:56
01 Oct 2020, 02:56
2
diameter of big circle =24
so area of big circle=144π
area of small circle=4π
area of medium circle=100π
area of region will be =area of big semi circle + area of small semi circle - area of medium semi circle=72π+2π-50π=24π
option B is correct
so area of big circle=144π
area of small circle=4π
area of medium circle=100π
area of region will be =area of big semi circle + area of small semi circle - area of medium semi circle=72π+2π-50π=24π
option B is correct
