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# What is the area of the shaded region, if one side of the isosceles tr

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Joined: 02 Sep 2009
Posts: 53020
What is the area of the shaded region, if one side of the isosceles tr  [#permalink]

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07 Sep 2018, 00:35
00:00

Difficulty:

25% (medium)

Question Stats:

80% (01:11) correct 20% (00:57) wrong based on 28 sessions

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What is the area of the shaded region, if one side of the isosceles triangle shown passes through the center?

(1) The radius of the circle is 1.
(2) Angle x is a right angle.

Attachment:

image013.jpg [ 4.03 KiB | Viewed 459 times ]

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What is the area of the shaded region, if one side of the isosceles tr  [#permalink]

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Updated on: 07 Sep 2018, 03:06
Bunuel wrote:

What is the area of the shaded region, if one side of the isosceles triangle shown passes through the center?

(1) The radius of the circle is 1.
(2) Angle x is a right angle.

Attachment:
image013.jpg

Question: Shaded region = Semicircle - Area of triangle in semicircle = ?

Statement 1: The radius of the circle is 1.

Area of triangle can be calculated which is a right triangle (every angle at circumference in a semicircle is 90º) isosceles triangle with hypotenuse 2 hence

SUFFICIENT

Statement 2: Angle x is a right angle.

This statement is redundant as we already know by property of circles that (every angle at circumference in a semicircle is 90º)

NOT SUFFICIENT

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Originally posted by GMATinsight on 07 Sep 2018, 01:41.
Last edited by GMATinsight on 07 Sep 2018, 03:06, edited 1 time in total.
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Re: What is the area of the shaded region, if one side of the isosceles tr  [#permalink]

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07 Sep 2018, 02:06
Bunuel wrote:

What is the area of the shaded region, if one side of the isosceles triangle shown passes through the center?

(1) The radius of the circle is 1.
(2) Angle x is a right angle.

Attachment:
image013.jpg

Can it be assumed that the vertex with the angle x is touching the circumference? if yes then the answer should be A
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Re: What is the area of the shaded region, if one side of the isosceles tr  [#permalink]

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07 Sep 2018, 22:46
1
saurabh9gupta wrote:
Bunuel wrote:

What is the area of the shaded region, if one side of the isosceles triangle shown passes through the center?

(1) The radius of the circle is 1.
(2) Angle x is a right angle.

Attachment:
image013.jpg

Can it be assumed that the vertex with the angle x is touching the circumference? if yes then the answer should be A

Hi saurabh9gupta,
It is clearly visible that the vertex with angle x touches the circle. NO ASSUMPTIONS. The below guidelines may be referred for a detailed insight.
https://gmatclub.com/forum/gmat-trick-r ... 01412.html
OFFICIAL GUIDE:

Problem Solving
Figures: All figures accompanying problem solving questions are intended to provide information useful in solving the problems. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated.

Data Sufficiency:
Figures:
• Figures conform to the information given in the question, but will not necessarily conform to the additional information given in statements (1) and (2).
• Lines shown as straight are straight, and lines that appear jagged are also straight.
• The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero.
• All figures lie in a plane unless otherwise indicated.
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Re: What is the area of the shaded region, if one side of the isosceles tr   [#permalink] 07 Sep 2018, 22:46
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