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# If the figure above shows three circles with diameters AB, BC and AC,

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Math Expert
Joined: 02 Sep 2009
Posts: 58427
If the figure above shows three circles with diameters AB, BC and AC,  [#permalink]

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23 Aug 2018, 04:09
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Difficulty:

25% (medium)

Question Stats:

83% (01:21) correct 17% (02:02) wrong based on 27 sessions

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If the figure above shows three circles with diameters AB, BC and AC, what is the area of the shaded region?

(1) AC/2 = BC
(2) BC = 3

Attachment:

image013 (1).jpg [ 7.99 KiB | Viewed 444 times ]

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Math Expert
Joined: 02 Aug 2009
Posts: 8011
Re: If the figure above shows three circles with diameters AB, BC and AC,  [#permalink]

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23 Aug 2018, 05:51
Bunuel wrote:
If the figure above shows three circles with diameters AB, BC and AC, what is the area of the shaded region?

(1) AC/2 = BC
(2) BC = 3

area of I = area of II = (area of bigger circle - area of III - area of IV )/2
we are looking for II + IV........... this requires us to know the radius of ll three circles...
AB=AC+BC, so just two values will be sufficient

(1) AC/2 = BC
nothing on numeric values
insuff
(2) BC = 3
insuff

combined

BC=3 so AC = 2*3=6 and AB=6-3=3
sufficient as we can find all areas

C
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image013 %281%29.jpg [ 14.35 KiB | Viewed 365 times ]

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Re: If the figure above shows three circles with diameters AB, BC and AC,   [#permalink] 23 Aug 2018, 05:51
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