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16 Sep 2014, 01:17
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If a circle is inscribed in a square, what is the ratio of the diagonal of the square to the radius of the circle?
A. \(\frac{1}{2}\)
B. \(\frac{1}{\sqrt{2}}\)
C. \(\sqrt{2}\)
D. 2
E. \(2\sqrt{2}\)
A. \(\frac{1}{2}\)
B. \(\frac{1}{\sqrt{2}}\)
C. \(\sqrt{2}\)
D. 2
E. \(2\sqrt{2}\)
16 Sep 2014, 01:17
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Official Solution:
If a circle is inscribed in a square, what is the ratio of the diagonal of the square to the radius of the circle?
A. \(\frac{1}{2}\)
B. \(\frac{1}{\sqrt{2}}\)
C. \(\sqrt{2}\)
D. 2
E. \(2\sqrt{2}\)
If \(x\) is the side of the square, then the diagonal of the square is \(\sqrt{2}x\) and the radius of the circle is \(\frac{x}{2}\). The required ratio \(= \frac{\sqrt{2}x}{\frac{x}{2}} = 2\sqrt{2}\).
Answer: E
If a circle is inscribed in a square, what is the ratio of the diagonal of the square to the radius of the circle?
A. \(\frac{1}{2}\)
B. \(\frac{1}{\sqrt{2}}\)
C. \(\sqrt{2}\)
D. 2
E. \(2\sqrt{2}\)
If \(x\) is the side of the square, then the diagonal of the square is \(\sqrt{2}x\) and the radius of the circle is \(\frac{x}{2}\). The required ratio \(= \frac{\sqrt{2}x}{\frac{x}{2}} = 2\sqrt{2}\).
Answer: E
17 Mar 2017, 12:00
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