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Question 1025522: A regular hexagon of side length 2a is placed so that the center is at the origin, and one diagonal lies on the y-axis. Find the coordinate of the vertex located in Quadrant III.
Note: if drawn properly, the regular hexagon should only have one point IN Quadrant III. Your answer must be in terms of a.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A regular hexagon of side length 2a is placed so that the center is at the origin, and one diagonal lies on the y-axis. Find the coordinate of the vertex located in Quadrant III.
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The side length of a hexagon = radius
The angle of that vertex = 60 + 60 + 60 + 30 = 210 degs
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x = 2a*cos(210) = -sqrt(3)a
y = 2a*sin(210) = -a
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--> (-sqrt(3)a,-a)
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