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If a square is inscribed in a circle of radius 4, what is the area of

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If a square is inscribed in a circle of radius 4, what is the area of  [#permalink]

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New post 29 Jan 2019, 03:43
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A
B
C
D
E

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  25% (medium)

Question Stats:

72% (01:03) correct 28% (00:30) wrong based on 26 sessions

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Re: If a square is inscribed in a circle of radius 4, what is the area of  [#permalink]

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New post 29 Jan 2019, 03:47
Bunuel wrote:
If a square is inscribed in a circle of radius 4, what is the area of the square?

A. 8
B. 16
C. 32
D. 48
E. 64


M11-32


If square is inscribed in a circle then, Diameter of Circle = Diagonal of the square = a√2 (if a is the side of the square)

i.e. Diameter = 2*4 = a√2

i,e, side of the square, a = 4√2

i.e. Area of the square \(= side^2 = a^2 = (4√2)^2 = 32\)

Answer: Option C
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Re: If a square is inscribed in a circle of radius 4, what is the area of  [#permalink]

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New post 29 Jan 2019, 03:49
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Re: If a square is inscribed in a circle of radius 4, what is the area of  [#permalink]

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New post 29 Jan 2019, 03:51
Bunuel wrote:
If a square is inscribed in a circle of radius 4, what is the area of the square?

A. 8
B. 16
C. 32
D. 48
E. 64


M11-32


diameter of circle would be the diagonal of square = s*sqrt2
8= s sqrt2
s = 4 sqrt2
area of square = 16*2 = 32
IMO C
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Re: If a square is inscribed in a circle of radius 4, what is the area of   [#permalink] 29 Jan 2019, 03:51
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