A square is inscribed in a circle. If the side of the same square 4cm,

Question

A square is inscribed in a circle. If the side of the same square is 4cm, what is the area of the circle?

A. 2π
B. 4π
C. 6π
D. 8π
E. None of these

Abhishek009 · Answer

Sides of the square is 4 units, so Diagonal of the square must be  4\sqrt{2}

Diagonal of the square = Diameter of the Circle =  4\sqrt{2}

So, Radius of the CIrcle is  2\sqrt{2}

Thus, Area of the Circle must be  π*2\sqrt{2}*2\sqrt{2} = 8π , Answer must be (D)

KanishkM · Answer

OP is the answer correct, i am getting D.

side = 4
diagonal = 4  \sqrt{2} 
radius = 2  \sqrt{2}

Area = 8π

Do share your thoughts on this.

HarikaBurlakanti · Answer

Can anyone explain why it is 6pie rather than 8pie..?

Posted from my mobile device

KanishkM · Answer

OA Was wrong, it is indeed D.

Abhishek009 · Answer

OA for the question must be (D) post has been modified by ADMIN member, Bunuel...

Bunuel · Answer

Yes, edited the OA. Thank you all.

mangamma · Answer

side^2 = (diagonal^2)/2

side = 4
diagonal = 4√2
radius = 2√2

Area = 8π

KarishmaB · Answer

When a square is inscribed in a circle, 
 r:a = 1:\sqrt{2}

r/4 = 1:\sqrt{2}

r = 2*\sqrt{2}

Area of circle  = \pi*r^2 = \pi*(2*\sqrt{2})^2 = 8\pi

Answer (D)

Archit3110 · Answer

diameter of circle = diagonal of square = 4 srt 2
radius = 2 sqrt 2
area : (2 sqrt 2)^2 * pi
: 8 pi
IMO D

ScottTargetTestPrep · Answer

Since the square is inscribed in the circle, the diagonal of the square is equivalent to the diameter of the circle. Thus, 4√2 = diagonal of square = diameter of circle.

So the radius is half the diameter, or 2√2, and thus the area is (2√2)^2 x π = 8π.

Answer: D

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A square is inscribed in a circle. If the side of the same square 4cm,

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A square is inscribed in a circle. If the side of the same square 4cm,

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