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In the figure, O is the center of the circle. Which one of t
[#permalink]
01 Oct 2018, 13:37
01 Oct 2018, 13:37
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Question Stats:
80% (01:00) correct
19% (00:55) wrong based on 52 sessions
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#GREpracticequestion In the figure, O is the center of the circle.jpg [ 18.56 KiB | Viewed 4674 times ]
In the figure, O is the center of the circle. Which one of the following must be true about the perimeter of the triangle shown?
(A) Always less than 10
(B) Always greater than 40
(C) Always greater than 30
(D) Always less than 30
(E) Less than 40 and greater than 20
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In the figure, O is the center of the circle. Which one of t
[#permalink]
07 Jun 2020, 01:23
07 Jun 2020, 01:23
1
[Refer attached image]
In Triangle OAB, OA=OB= Radius = 10
That means that the perimeter of triangle OAB = OA + OB + AB > 20
Now, the perimeter will be least when AB is least which is close to 0 => Perimeter > 20
[see second circle in the attached image]
Perimeter will be maximum when AB is maximum which is close to the diameter (it cannot be the diameter as then A,o and B will be on the same line so we cannot get a triangle)
so, AB <20
=> Perimeter < 10+10+20
=> Perimeter < 40
[refer circle three in attached image]
=> 20 < Perimeter of OAB < 40
So, answer will be E
Hope it helps!
Watch the following video to Learn Basics of Circles
In Triangle OAB, OA=OB= Radius = 10
That means that the perimeter of triangle OAB = OA + OB + AB > 20
Now, the perimeter will be least when AB is least which is close to 0 => Perimeter > 20
[see second circle in the attached image]
Perimeter will be maximum when AB is maximum which is close to the diameter (it cannot be the diameter as then A,o and B will be on the same line so we cannot get a triangle)
so, AB <20
=> Perimeter < 10+10+20
=> Perimeter < 40
[refer circle three in attached image]
=> 20 < Perimeter of OAB < 40
So, answer will be E
Hope it helps!
Watch the following video to Learn Basics of Circles
Attachments
image-2.jpg [ 79.5 KiB | Viewed 2767 times ]
gmatclubot
In the figure, O is the center of the circle. Which one of t [#permalink]
07 Jun 2020, 01:23
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