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

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Math Expert
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Posts: 52430
In the figure above, five semicircles are drawn on the number line. Wh  [#permalink]

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27 Nov 2017, 22:34
00:00

Difficulty:

(N/A)

Question Stats:

64% (00:50) correct 36% (00:53) wrong based on 23 sessions

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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 525 times ]

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

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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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29 Nov 2017, 03:33
=> 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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29 Nov 2017, 03:35
1
Utkarsh KOhli wrote:
=> 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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Manager
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Re: In the figure above, five semicircles are drawn on the number line. Wh  [#permalink]

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29 Nov 2017, 03:39
Sasindran wrote:
Utkarsh KOhli wrote:
=> 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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29 Nov 2017, 17:18
1
Bunuel wrote:

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

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.

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