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Each of the three shaded regions above is a semicircle. If AB = 4, CD

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Each of the three shaded regions above is a semicircle. If AB = 4, CD  [#permalink]

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New post 11 Jan 2019, 00:20
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A
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C
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Question Stats:

58% (01:02) correct 42% (01:14) wrong based on 12 sessions

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Each of the three shaded regions above is a semicircle. If AB = 4, CD = 2BC, and BC = 2AB, then the area of the entire shaded figure is

A. 28π
B. 42π
C. 84π
D. 96π
E. 168π

Attachment:
2019-01-11_1218.png
2019-01-11_1218.png [ 12.32 KiB | Viewed 149 times ]

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Re: Each of the three shaded regions above is a semicircle. If AB = 4, CD  [#permalink]

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New post 11 Jan 2019, 00:33
Bunuel wrote:
Image
Each of the three shaded regions above is a semicircle. If AB = 4, CD = 2BC, and BC = 2AB, then the area of the entire shaded figure is

A. 28π
B. 42π
C. 84π
D. 96π
E. 168π

Attachment:
The attachment 2019-01-11_1218.png is no longer available


IMO: B
Solution Attached

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Shantanu Sharma
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Re: Each of the three shaded regions above is a semicircle. If AB = 4, CD  [#permalink]

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New post 11 Jan 2019, 02:19
Bunuel wrote:
Image
Each of the three shaded regions above is a semicircle. If AB = 4, CD = 2BC, and BC = 2AB, then the area of the entire shaded figure is

A. 28π
B. 42π
C. 84π
D. 96π
E. 168π

Attachment:
2019-01-11_1218.png

DIAMETER
AB= 4 ; CD=16 ; BC = 8
radius ab= 2; cd=8 ; bc= 4

so area of semicircle ab,bc,cd = pi/2 * ( 4^2+8^2+2^2)
= 42 pi
IMO B
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Re: Each of the three shaded regions above is a semicircle. If AB = 4, CD &nbs [#permalink] 11 Jan 2019, 02:19
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Each of the three shaded regions above is a semicircle. If AB = 4, CD

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