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11 Sep 2018, 02:34
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
74% (00:57) correct
26%
(01:02)
wrong
based on 89
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of the triangle inscribed within the circle as shown above?
(1) The triangle is equilateral.
(2) The radius of the circle is 5.
Attachment:
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Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
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11 Sep 2018, 06:11
Kudos
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Bunuel
Statement 1: The triangle is equilateral.
but we dont have any of the dimensions.
Insufficient.
Statement 2: The radius of the circle is 5.
We need to know the angles of the triangle to calculate the area.
Insufficient.
Combining Statements 1 and 2:
Sufficient.
Answer: C
12 Sep 2018, 05:21
Kudos
Bookmarks
Bunuel
Question : What is the area of the triangle inscribed within the circle as shown above?
To calculate the area of triangle we need to know
1) Property of triangle whether it's equilateral isosceles, right angle etc.
2) Radius of the circle
Statement 1: The triangle is equilateral.
Now we know the type of triangle it is but we have no dimension to calculate the area/side of the triangle hence
NOT SUFFICIENT
Statement 2: Radius of the circle = 5
We know th eradius but we don't know the type of triangle it is hence
NOT SUFFICIENT
Combining the two statements
Radius = 5, i.e.if side of equilateral triangle =a
\((2/3)*Height-of-equilateral triangle = Radius-of-circle\)
\((2/3)*(√3/2)a = 5\)
Now, a can be calculated hence
SUFFICIENT
Answer: Option C
