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A unit square is circumscribed about a circle. If the circumference of

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A unit square is circumscribed about a circle. If the circumference of  [#permalink]

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Updated on: 20 May 2017, 06:48
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58% (00:52) correct 42% (01:50) wrong based on 52 sessions

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A unit square is circumscribed about a circle. If the circumference of the circle is $$q\pi$$, what is the value of q?

(A) 1

(B) 2

(C) $$\pi$$

(D) $$2\pi$$

(E) $$5\pi$$

Source: Nova GMAT.

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Originally posted by rohan2345 on 20 May 2017, 06:43.
Last edited by Bunuel on 20 May 2017, 06:48, edited 1 time in total.
Renamed the topic and edited the question.
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Posts: 56300
Re: A unit square is circumscribed about a circle. If the circumference of  [#permalink]

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20 May 2017, 06:51
rohan2345 wrote:
A unit square is circumscribed about a circle. If the circumference of the circle is $$q\pi$$, what is the value of q?

(A) 1

(B) 2

(C) $$\pi$$

(D) $$2\pi$$

(E) $$5\pi$$

Source: Nova GMAT.

Since the circle is inscribed in the square with the length of a side 1, then the radius of the circle is 1/2.

The circumference $$= 2\pi r = 2\pi *\frac{1}{2} = \pi$$.

Also, given that the circumference $$q\pi$$, thus $$q\pi=\pi$$ --> q = 1.

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Re: A unit square is circumscribed about a circle. If the circumference of  [#permalink]

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27 Aug 2018, 08:54
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Re: A unit square is circumscribed about a circle. If the circumference of   [#permalink] 27 Aug 2018, 08:54
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