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What is the area of the figure above formed by a square and four semic

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What is the area of the figure above formed by a square and four semic  [#permalink]

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New post 20 Dec 2018, 12:38
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71% (00:34) correct 29% (00:34) wrong based on 31 sessions

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What is the area of the figure above formed by a square and four semicircles?

(1) The perimeter of the figure is 12π.

(2) The perimeter of the square is 24.

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Re: What is the area of the figure above formed by a square and four semic  [#permalink]

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New post 25 Dec 2018, 01:15
SajjadAhmad wrote:
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What is the area of the figure above formed by a square and four semicircles?

(1) The perimeter of the figure is 12π.

(2) The perimeter of the square is 24.



#1:
side of square be x
so perimeter of square is 4x

for the 4 semicircle the length of the square is equal to diameter of each semi circle or radius is x/2

circumference of 1 semi circle : 2*pi*x/2 = pi*x since 4 of them are there so 4*pi*x

total perimeter of figure : 4*pi*x+4x=12 pi
or say x= 3pi/(pi+1)
area can be found..
sufficient

#2: 4s=24
s=6
sufficient as we can find the area of circle .

IMO D
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Re: What is the area of the figure above formed by a square and four semic &nbs [#permalink] 25 Dec 2018, 01:15
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What is the area of the figure above formed by a square and four semic

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