Say, you have a hexagon. All of the six sides are congruent, and equal 6. If you were to draw a line from one of the vertices to the middle of the hexagon, would that radius be 6?
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A hexagon has (6-2)*180 = 720 interior degrees
Each vertex has an angle of 120 degree.
When you draw the radius, it divides the angle at the vertex into two 60-degree angles.
So each triangle that is formed by drawing those lines from vertex to the center has two (and thus 3) 60-degree angles.
So, the radius has to be 6.
Each vertex has an angle of 120 degree.
When you draw the radius, it divides the angle at the vertex into two 60-degree angles.
So each triangle that is formed by drawing those lines from vertex to the center has two (and thus 3) 60-degree angles.
So, the radius has to be 6.
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yes the side of the hexagon equals the
radius of the circumscribed circle
radius of the circumscribed circle
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yes, the center of hexagon and its 6 vertices can form 6 congruent equilateral triangles