SOLUTION: A regular hexagon has consecutive vertices at (0,8) and (0,4). What is the exact area of the hexagon? What are the possible coordinates of the center?

Question 1155309: A regular hexagon has consecutive vertices at (0,8) and (0,4). What is the exact area of the hexagon? What are the possible coordinates of the center?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

area:

is equal to distance between two consecutive vertices
given:consecutive vertices at (,) and (,)
since x coordinate equal to zero, distance between and is
units

-> exact area
What are the possible coordinates of the center?

since the triangle formed by each side and the lines joining the end points of the side to the circumcentre are equilateral,

if center is at (,)
coordinate of the center is midpoint consecutive vertices at (,) and (,)

calculate using the right triangle with one side being units and hypotenuse

so, the possible coordinates of the center are:
C(,) or C(,)

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