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13 Nov 2018, 01:22
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Difficulty:
15%
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Question Stats:
79% (01:12) correct
21%
(01:47)
wrong
based on 122
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In the figure above, equilateral hexagon ABCDEF is inscribed in the circle with center G, which has a diameter of 16. What is the length of AB ?
A. 16
B. \(8\sqrt{3}\)
C. \(6\sqrt{3}\)
D. 8
E. \(4\sqrt{3}\)
Attachment:
2018-11-13_1220.png [ 59.46 KiB | Viewed 4357 times ]
Given : ABCDEF is a equilateral hexagon
This implies that the hexagon can be divided into 6 equilateral traingles.
If AG and BG are joined
AG=BG= Radius of the circle = (16/2)=8
Since, ABG forms an equilateral triangle
AB= 8
Option: D
NOTE: central angle of a regular hexagon is 360
And when it is divided into 6 triangles, the central angle of each triangle will be (360)/6=60
And since the radius are equal, the other 2 angles will be equal, so it will form an equilateral triangle.
This implies that the hexagon can be divided into 6 equilateral traingles.
If AG and BG are joined
AG=BG= Radius of the circle = (16/2)=8
Since, ABG forms an equilateral triangle
AB= 8
Option: D
NOTE: central angle of a regular hexagon is 360
And when it is divided into 6 triangles, the central angle of each triangle will be (360)/6=60
And since the radius are equal, the other 2 angles will be equal, so it will form an equilateral triangle.
sowmiyav
You are correct mate. i have applied wrong logic .
That logic was for other question.
Ur explanation is correct.
Kudos to you
You are correct mate. i have applied wrong logic .
That logic was for other question.
Ur explanation is correct.
Kudos to you
