Gazebo / regular hexagon 24ft across. Whats the distance to the center of 6 posts

A gazebo / hexagon 24ft across / 6 post / what the center to the posts?
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A hexagon can be divided into 6 equilateral triangles. The width of the gazebo is the sum of the bases of two triangles so, since the bases are of equal length, the sides of each equilateral triangle measure 12ft, which is the radius of the gazebo and the common distance of each post from the centre.

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