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# In the gure above, if EFGH is a square and the arcs are all quarter–ci

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Math Expert
Joined: 02 Sep 2009
Posts: 55668
In the gure above, if EFGH is a square and the arcs are all quarter–ci  [#permalink]

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10 Jan 2019, 02:32
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Question Stats:

50% (01:33) correct 50% (01:41) wrong based on 5 sessions

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In the figure above, if EFGH is a square and the arcs are all quarter–circles of length IT, π what is the perimeter of EFGH?

A. 1
B. 2
C. 4
D. 8
E. 16

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2019-01-10_1330.png [ 12.39 KiB | Viewed 247 times ]

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In the gure above, if EFGH is a square and the arcs are all quarter–ci  [#permalink]

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10 Jan 2019, 03:21
In the figure above, if EFGH is a square and the arcs are all quarter–circles of length IT, π what is the perimeter of EFGH?

Since quarter circle length = Circumference/4
2*Pi*r/4 = PI

implies, r = 2
Length of the sides (S) = 2*r ----- (from the figure)
S = 4

Perimeter of the square = 4S
= 4*4
=16

Option E is correct
In the gure above, if EFGH is a square and the arcs are all quarter–ci   [#permalink] 10 Jan 2019, 03:21
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