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24 Apr 2018, 06:15
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B
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84% (01:56) correct
16%
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In the figure, the circle circumscribed about square ABCD has a circumference of \(16\pi\). The length of a side of square ABCD is s. What is the square’s area?
(A) \(8 \sqrt{2}\)
(B) 128
(C) 256
(D) \(128\pi\)
(E) \(256\pi\)
Attachment:
2018-04-24_1708.png [ 13.65 KiB | Viewed 2418 times ]
24 Apr 2018, 06:20
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Ans: B (128)
Perimeter is given of Circle by this we can get the diameter of the Circle which is diagonal of the square. and by this we can know the area of the square..
Perimeter is given of Circle by this we can get the diameter of the Circle which is diagonal of the square. and by this we can know the area of the square..
24 Apr 2018, 06:28
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Bunuel
In the figure, the circle circumscribed about square ABCD has a circumference of \(16\pi\). The length of a side of square ABCD is s. What is the square’s area?
(A) \(8 \sqrt{2}\)
(B) 128
(C) 256
(D) \(128\pi\)
(E) \(256\pi\)
Attachment:
2018-04-24_1708.png
\(C=\pi*d=16*\pi\)
So, \(d=16\)
\(s\sqrt{2}=16\)
\(s=8\sqrt{2}\)
\(S=s^2=(8\sqrt{2})^2=128\)
Answer: B
