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12 Sep 2018, 00:30
Kudos
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E
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:
79% (01:41) correct
21%
(02:46)
wrong
based on 56
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of the circle shown above with center O, if the area of the equilateral triangle inside the circle is 30 square units?
A. \(2\sqrt{30}\pi\)
B. \(15\sqrt{3}\pi\)
C. \(30\pi\)
D. \(60\pi\)
E. \(40\sqrt{3}\pi\)
Attachment:
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12 Sep 2018, 02:59
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Bunuel
Notice that radius of the circle=side of the equilateral triangle
Given Area of equilateral triangle=30
Or, \(\sqrt{3}/4*a^2\)
Or, \(a^2\)=\(4/\sqrt{3}\)*30
Area of circle=π\(a^2\)=\(40\sqrt{3}π\)
I think there is a typographical error in option E.
12 Sep 2018, 05:46
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Bunuel
Area of the equilateral triangle \(= (√3/4)*r^2\) where r is the radius of the circle and length of each side of equilateral triangle
i.e. \((√3/4)*r^2 = 30\)
i.e. \(r^2 = 40√3\)
i.e. Area of the circle = \(π*r^2 = 40√3π\)
Answer: Option E (After correction in the option mentioned)
Bunuel : Please modify the answer option E
