Is the side of a hexagon (with all congruent sides) the same as it's radius
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Is the side of a hexagon (with all congruent sides) the same as it's radius

[From: ] [author: ] [Date: 12-05-11] [Hit: ]
would that radius 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,......
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.

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yes the side of the hexagon equals the
radius of the circumscribed circle

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yes, the center of hexagon and its 6 vertices can form 6 congruent equilateral triangles
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