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AB, BC, and AC

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AB, BC, and AC [#permalink] New post 01 Oct 2020, 00:57
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GRE  what is the area of the shaded region.png
GRE what is the area of the shaded region.png [ 8.92 KiB | Viewed 218 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. \(3\pi \)
[Reveal] Spoiler: OA

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Re: AB, BC, and AC [#permalink] New post 01 Oct 2020, 01:10
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Re: AB, BC, and AC [#permalink] New post 01 Oct 2020, 02:56
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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
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Re: AB, BC, and AC   [#permalink] 01 Oct 2020, 02:56
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