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In this diagram, the circle is inscribed in the square.

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Founder
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In this diagram, the circle is inscribed in the square. [#permalink]  30 Nov 2018, 17:17
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64% (00:56) correct 35% (00:55) wrong based on 53 sessions
In this diagram, the circle is inscribed in the square.

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GRE exam - In this diagram, the circle is inscribed in the square. .jpg [ 8.91 KiB | Viewed 3862 times ]

 Quantity A Quantity B Length of diagonal AC $$\frac{5r}{2}$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Director
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Re: In this diagram, the circle is inscribed in the square. [#permalink]  01 Dec 2018, 10:29
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2r = diameter of the circle.

Diameter of the circle = side of the square

since the adjacent sides of the squares are at 90 degrees, the diagonal = $$2r\sqrt{2}$$
This is because a 90-45-45 triangle will be formed between 2 sides of the square and the diagonal

now simplify

option A is:

$$2r\sqrt{2}$$

option B is:
$$\frac{5r}{2}$$

cancel r from both sides, then multiplying both sides by 2 we get,

option A = $$4\sqrt{2}$$
option B = 5
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Director
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Re: In this diagram, the circle is inscribed in the square. [#permalink]  11 Jan 2019, 17:15
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amorphous wrote:
2r = diameter of the circle.

Diameter of the circle = side of the square

since the adjacent sides of the squares are at 90 degrees, the diagonal = $$2r\sqrt{2}$$
This is because a 90-45-45 triangle will be formed between 2 sides of the square and the diagonal

now simplify

option A is:

$$2r\sqrt{2}$$

option B is:
$$\frac{5r}{2}$$

cancel r from both sides, then multiplying both sides by 2 we get,

option A = $$4\sqrt{2}$$
option B = 5

If it does not mention in the question how do we deduce that r is the radius or side or diagonal.
Re: In this diagram, the circle is inscribed in the square.   [#permalink] 11 Jan 2019, 17:15
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