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What is the area of the region of diagram?

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Math Revolution GMAT Instructor
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What is the area of the region of diagram?  [#permalink]

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New post 02 May 2016, 22:28
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

85% (02:25) correct 15% (02:40) wrong based on 41 sessions

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What is the area of the region of diagram?

A. 8+(3π/2)
B. 10+(3π/2)
C. 8+3π
D. 10+3π
E. 8+6π

* A solution will be posted in two days.

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Re: What is the area of the region of diagram?  [#permalink]

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New post 03 May 2016, 11:13
Area of rectangular region (shaded portion in the attachment) = 4 * 2 + 1 * 2 = 10
Area of semi-circular region = 3*(pi*1^2)/2 = 1.5pi

Total area = 10 + 1.5pi

Answer: B
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Re: What is the area of the region of diagram?  [#permalink]

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New post 03 May 2016, 12:14
In this digram you have:

3 semi circles : 3/2 * Pi * R², with R=1

1 rectangle : 4*2

1 square : 1* 2


Sum = 3/2 Pi + 10
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What is the area of the region of diagram?  [#permalink]

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New post 08 May 2016, 17:53
As you can see from the figure attached, we have a rectangle that has an area of 4*2=8 and 2*1=2. Also, there are three semicircles with 1 as their radii. All together, the area is 8+2+3(π/2)= 10+(3π/2). Hence, B is the correct answer.
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What is the area of the region of diagram?   [#permalink] 08 May 2016, 17:53
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