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# A fly crawls around the outside of a circle once. A second fly crawls

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Math Expert
Joined: 02 Sep 2009
Posts: 61549
A fly crawls around the outside of a circle once. A second fly crawls  [#permalink]

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10 Aug 2017, 00:56
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Difficulty:

15% (low)

Question Stats:

86% (01:12) correct 14% (02:06) wrong based on 35 sessions

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A fly crawls around the outside of a circle once. A second fly crawls around the outside of a square once. Which fly travels farther?

(1) The diagonal of the square is equal to the diameter of the circle
(2) The fly crawling around the circle took more time to complete his journey than fly crawling around the square

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Re: A fly crawls around the outside of a circle once. A second fly crawls  [#permalink]

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10 Aug 2017, 01:07
1
Bunuel wrote:
A fly crawls around the outside of a circle once. A second fly crawls around the outside of a square once. Which fly travels farther?

(1) The diagonal of the square is equal to the diameter of the circle
(2) The fly crawling around the circle took more time to complete his journey than fly crawling around the square

Question : Which is greater Circumference of circle or Perimeter of Square

(1) let the side of square be $$x$$
Perimeter of square = $$4x$$
Diagonal of square = $$\sqrt{2}x$$
Radius of circle = $$x/\sqrt{2}$$
Circumference of circle = $$\sqrt{2} * 3.14 * x$$ = 1.41 * 3.14 * x = ~4.4x

Hence Circumference of circle is greater than Perimeter of square since x is positive
Sufficient

(2) only time is available ..Distance cannot be determined without speed
Not Sufficient

A
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Re: A fly crawls around the outside of a circle once. A second fly crawls  [#permalink]

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26 Jan 2020, 02:46
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Re: A fly crawls around the outside of a circle once. A second fly crawls   [#permalink] 26 Jan 2020, 02:46
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