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# The figure above represents a red square piece of paper with a white c

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Math Expert
Joined: 02 Sep 2009
Posts: 52917
The figure above represents a red square piece of paper with a white c  [#permalink]

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04 Sep 2018, 23:34
00:00

Difficulty:

35% (medium)

Question Stats:

82% (00:40) correct 18% (00:27) wrong based on 24 sessions

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The figure above represents a red square piece of paper with a white circular piece of paper taped on top of it and extending to the edges. How much of the red piece of paper, in square inches, still shows?

(1) The area of the red piece of paper is 16 square inches.
(2) The area of the white piece of paper is 4π square inches.

Attachment:

image012.jpg [ 2.89 KiB | Viewed 248 times ]

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Intern
Joined: 31 Jul 2017
Posts: 20
Location: India
Re: The figure above represents a red square piece of paper with a white c  [#permalink]

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04 Sep 2018, 23:39
IMO D

In either case you can derive the side of the square and the radius of the circle from any of the areas in given in option A and option B.

Radius of circle = half of side of square.

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Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: The figure above represents a red square piece of paper with a white c  [#permalink]

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04 Sep 2018, 23:45
Bunuel wrote:

The figure above represents a red square piece of paper with a white circular piece of paper taped on top of it and extending to the edges. How much of the red piece of paper, in square inches, still shows?

(1) The area of the red piece of paper is 16 square inches.
(2) The area of the white piece of paper is 4π square inches.

Attachment:
image012.jpg

area left = area of square - area of circle
we need only the diameter/side of the square

(1) The area of the red piece of paper is 16 square inches.
side=4 = diameter
sufficient

(2) The area of the white piece of paper is 4π square inches.
r=2
d=4=side of the square

sufficient

D
Re: The figure above represents a red square piece of paper with a white c   [#permalink] 04 Sep 2018, 23:45
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# The figure above represents a red square piece of paper with a white c

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