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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
In the figure below, a square is inscribed in a circle. If the area of
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06 Feb 2023, 21:53
06 Feb 2023, 21:53
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Question Stats:
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In the figure below, a square is inscribed in a circle. If the area of the square region is 16, what is the area of the circular region?
(A) 2π
(B) 4π
(C) 8π
(D) 12π
(E) 16π
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Attachment:
square-in-circle.png [ 17.9 KiB | Viewed 1022 times ]
Re: In the figure below, a square is inscribed in a circle. If the area of
[#permalink]
08 Feb 2023, 18:41
08 Feb 2023, 18:41
2
This is a multiple figure problem. The key to these problems is to look for elements that are common to both shapes.
Diagonal of the square is the diameter of the circle.
We know each side of the square is 4.
Because of our 45-45-90 triangle rule, that means the diagonal of the square is 4 √ 2 (aka the diameter of the circle)
So the radius of the circle is 2 √ 2
Now all we need is the area of the circle, which is π * (2 √ 2) squared, or 8π
Answer: C
Diagonal of the square is the diameter of the circle.
We know each side of the square is 4.
Because of our 45-45-90 triangle rule, that means the diagonal of the square is 4 √ 2 (aka the diameter of the circle)
So the radius of the circle is 2 √ 2
Now all we need is the area of the circle, which is π * (2 √ 2) squared, or 8π
Answer: C
gmatclubot
Re: In the figure below, a square is inscribed in a circle. If the area of [#permalink]
08 Feb 2023, 18:41
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