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17 Sep 2018, 02:03
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Difficulty:
75%
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Question Stats:
57% (02:50) correct
43%
(03:16)
wrong
based on 82
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A circle is inscribed in equilateral triangle ABC such that point D lies on the circle and on the line segment AC, point E lies on the circle and on the line segment AB, point F lies on the circle and on the line segment BC. If the line segment AB = 6, what is the area of the figure created by AB, AC and minor arc DE?
(A) \(3\sqrt{3}-\frac{9}{4}\pi\)
(B) \(3\sqrt{3}- \pi\)
(C) \(6\sqrt{3}-\pi\)
(D) \(9\sqrt{3}-3\pi\)
(E) \(9\sqrt{3}-2\pi\)
(A) \(3\sqrt{3}-\frac{9}{4}\pi\)
(B) \(3\sqrt{3}- \pi\)
(C) \(6\sqrt{3}-\pi\)
(D) \(9\sqrt{3}-3\pi\)
(E) \(9\sqrt{3}-2\pi\)
17 Sep 2018, 02:17
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Bunuel
A circle is inscribed in equilateral triangle ABC such that point D lies on the circle and on the line segment AC, point E lies on the circle and on the line segment AB, point F lies on the circle and on the line segment BC. If the line segment AB = 6, what is the area of the figure created by AB, AC and minor arc DE?
(A) \(3\sqrt{3}-\frac{9}{4}\pi\)
(B) \(3\sqrt{3}- \pi\)
(C) \(6\sqrt{3}-\pi\)
(D) \(9\sqrt{3}-3\pi\)
(E) \(9\sqrt{3}-2\pi\)
(A) \(3\sqrt{3}-\frac{9}{4}\pi\)
(B) \(3\sqrt{3}- \pi\)
(C) \(6\sqrt{3}-\pi\)
(D) \(9\sqrt{3}-3\pi\)
(E) \(9\sqrt{3}-2\pi\)
Posted from my mobile device
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File comment: Answer B , as solved in attached picture
20180917_121346.jpg [ 6.92 MiB | Viewed 3251 times ]
17 Sep 2018, 08:20
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kritisinghvi
Bunuel
A circle is inscribed in equilateral triangle ABC such that point D lies on the circle and on the line segment AC, point E lies on the circle and on the line segment AB, point F lies on the circle and on the line segment BC. If the line segment AB = 6, what is the area of the figure created by AB, AC and minor arc DE?
(A) \(3\sqrt{3}-\frac{9}{4}\pi\)
(B) \(3\sqrt{3}- \pi\)
(C) \(6\sqrt{3}-\pi\)
(D) \(9\sqrt{3}-3\pi\)
(E) \(9\sqrt{3}-2\pi\)
(A) \(3\sqrt{3}-\frac{9}{4}\pi\)
(B) \(3\sqrt{3}- \pi\)
(C) \(6\sqrt{3}-\pi\)
(D) \(9\sqrt{3}-3\pi\)
(E) \(9\sqrt{3}-2\pi\)
Posted from my mobile device
won't this give the area which is outside circle but not shaded in your image? can you kindly explain?
