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The side length of a square inscribed in a circle is 2. What
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03 Oct 2018, 07:43
03 Oct 2018, 07:43
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The side length of a square inscribed in a circle is 2. What is the area of the circle?
(A) \(\pi\)
(B) \(\sqrt{2} \pi\)
(C) \(2\pi\)
(D) \(2 \sqrt{2} \pi\)
(E) \(\pi^2\)
(A) \(\pi\)
(B) \(\sqrt{2} \pi\)
(C) \(2\pi\)
(D) \(2 \sqrt{2} \pi\)
(E) \(\pi^2\)
Re: The side length of a square inscribed in a circle is 2. What
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04 Oct 2018, 08:42
04 Oct 2018, 08:42
A square is inscribed in the circle. The diagonal of the square is equal to the diameter of the circle.
if side of a square = x then diameter = \(x\sqrt{2}\)
Therefore, diagonal = \(2\sqrt{2}\)
Hence radius = \(\sqrt{2}\)
Area = \(\pi r^2 = 2\pi\)
if side of a square = x then diameter = \(x\sqrt{2}\)
Therefore, diagonal = \(2\sqrt{2}\)
Hence radius = \(\sqrt{2}\)
Area = \(\pi r^2 = 2\pi\)
gmatclubot
Re: The side length of a square inscribed in a circle is 2. What [#permalink]
04 Oct 2018, 08:42
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