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# AB, BC, and AC

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AB, BC, and AC [#permalink]  01 Oct 2020, 00:57
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Question Stats:

92% (02:42) correct 7% (02:21) wrong based on 13 sessions
Attachment:

GRE what is the area of the shaded region.png [ 8.92 KiB | Viewed 208 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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Eddie Van Halen - Beat it R.I.P.

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Re: AB, BC, and AC [#permalink]  01 Oct 2020, 01:10
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Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
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Eddie Van Halen - Beat it R.I.P.

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Re: AB, BC, and AC [#permalink]  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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