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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Two strings have equal length. One of the strings is shaped, with no
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18 Sep 2022, 21:25
18 Sep 2022, 21:25
Expert Reply
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Question Stats:
33% (02:16) correct
66% (01:54) wrong based on 3 sessions
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Two strings have equal length. One of the strings is shaped, with no overlap, into a circle. The other string is shaped, with no overlap, into a square. What is the ratio of the area of the region enclosed by the circle to the area of the region enclosed by the square?
A. \(1:2\)
B. \(\pi:2\)
C. \(1:1\)
D. \(4:\pi\)
E. The ratio depends on the length of the two strings.
A. \(1:2\)
B. \(\pi:2\)
C. \(1:1\)
D. \(4:\pi\)
E. The ratio depends on the length of the two strings.
Re: Two strings have equal length. One of the strings is shaped, with no
[#permalink]
21 Sep 2022, 05:08
21 Sep 2022, 05:08
Expert Reply
let strings be 12 each
so for circle ; 2 pi r= 12 ; r = 6/pi
and for square ; 4s = 12 ;s =3
area of circle ; 36/pi
and area of square = 9
ratio of the area of the region enclosed by the circle to the area of the region enclosed by the square
36/pi * 1/9 = 4:pi
OPTION D
so for circle ; 2 pi r= 12 ; r = 6/pi
and for square ; 4s = 12 ;s =3
area of circle ; 36/pi
and area of square = 9
ratio of the area of the region enclosed by the circle to the area of the region enclosed by the square
36/pi * 1/9 = 4:pi
OPTION D
gmatclubot
Re: Two strings have equal length. One of the strings is shaped, with no [#permalink]
21 Sep 2022, 05:08
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