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27 Nov 2017, 23:34
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B
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72% (00:53) correct
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based on 67
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In the figure above, five semicircles are drawn on the number line. What is the total shaded area?
(A) 5π/16
(B) 5π/8
(C) 5π/4
(D) 5π/2
(E) 5π
Attachment:
2017-11-28_1024_001.png [ 5.64 KiB | Viewed 2864 times ]
28 Nov 2017, 00:07
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B.
Area of one shaded region is (pi.1^2)/4*(1/2) =pi/8
For 5 such regions area =5.pi/8
Sent from my iPhone using GMAT Club Forum
Area of one shaded region is (pi.1^2)/4*(1/2) =pi/8
For 5 such regions area =5.pi/8
Sent from my iPhone using GMAT Club Forum
Mick1005
Joined: 15 Aug 2016
Last visit: 21 Jul 2020
Posts: 160
Given Kudos: 156
Location: India
Concentration: Technology, Operations
Schools: BYU'21 (A$) Mays '21 (WL) Jindal '21 (A$) Madison '21 (M$) Broad '21 (A$) Simon '21 (WL) Olin '21 (WL) Marshall '21 (D) Krannert '21 (A$) Katz '21 (D) Urbana-Champaign '21 (D) ISB '20 (D) Mendoza '21 (I)
GMAT 1: 690 Q49 V35
GPA: 3.84
WE:Operations (Consulting)
Schools: BYU'21 (A$) Mays '21 (WL) Jindal '21 (A$) Madison '21 (M$) Broad '21 (A$) Simon '21 (WL) Olin '21 (WL) Marshall '21 (D) Krannert '21 (A$) Katz '21 (D) Urbana-Champaign '21 (D) ISB '20 (D) Mendoza '21 (I)
GMAT 1: 690 Q49 V35
Posts: 160
29 Nov 2017, 04:33
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Radius of first shaded region = 1/2.
=> Area of first shaded region= pi*1/2*1/2=pi/4.
=>Area of five identical regions= 5*pi/4=5pi/4.
IMO:c
=> Area of first shaded region= pi*1/2*1/2=pi/4.
=>Area of five identical regions= 5*pi/4=5pi/4.
IMO:c
