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In the figure above, five semicircles are drawn on the number line. Wh

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In the figure above, five semicircles are drawn on the number line. Wh [#permalink]

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New post 27 Nov 2017, 22:34
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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


[Reveal] Spoiler:
Attachment:
2017-11-28_1024_001.png
2017-11-28_1024_001.png [ 5.64 KiB | Viewed 283 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 135655 [0], given: 12705

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Re: In the figure above, five semicircles are drawn on the number line. Wh [#permalink]

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New post 27 Nov 2017, 23:07
B.
Area of one shaded region is (pi.1^2)/4*(1/2) =pi/8
For 5 such regions area =5.pi/8


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Re: In the figure above, five semicircles are drawn on the number line. Wh [#permalink]

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New post 29 Nov 2017, 03:33
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

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Re: In the figure above, five semicircles are drawn on the number line. Wh [#permalink]

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New post 29 Nov 2017, 03:35
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Utkarsh KOhli wrote:
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


You are calculating for the entire circle. However here it’s semicircle


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Kudos [?]: 38 [1], given: 89

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Kudos [?]: 1 [0], given: 77

Re: In the figure above, five semicircles are drawn on the number line. Wh [#permalink]

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New post 29 Nov 2017, 03:39
Sasindran wrote:
Utkarsh KOhli wrote:
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


You are calculating for the entire circle. However here it’s semicircle


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Thank you for correcting me.
Kudos to you.!!

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Re: In the figure above, five semicircles are drawn on the number line. Wh [#permalink]

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New post 29 Nov 2017, 17:18
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Expert's post
Bunuel wrote:
Image
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


[Reveal] Spoiler:
Attachment:
2017-11-28_1024_001.png


The area of each semicircle is 1/2 x (1/2)^2 x π = (1/8)π, so the area of the entire shaded region is 5 x (1/8)π = (5/8)π = 5π/8.

Answer: B
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Kudos [?]: 1018 [1], given: 3

Re: In the figure above, five semicircles are drawn on the number line. Wh   [#permalink] 29 Nov 2017, 17:18
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In the figure above, five semicircles are drawn on the number line. Wh

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