Heres a trig formula that will work for any regular polygon if you know the length of a side. Heres a trig formula that will work if you know the radius of the polygon distance from the center to any vertex.
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A s²n 4 tangent180n where s is the length of a side and n is the number of sides.
. A r²n sine360n 2 where r is the radius and n is the number of sides. This page shows how to construct draw the incenter of a triangle with compass and straightedge or ruler. The Incenter of a triangle is the point where all three angle bisectors always intersect and is the center of the triangles incircleSee Constructing the incircle of a triangle.
In this construction we only use two bisectors as this is sufficient to define the point where they.
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