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    Regular Polygon

    Visual representation

    (drawn with 11 vertices)

    Combinatorial properties

    vertices | n edges | n (assuming n vertices)

    Properties

    area | 1/4 n s^2 cot(π/n)≈0.25 n s^2 cot(3.14159/n) perimeter | n s central angle | (2 π)/n rad≈6.28319/n rad≈360/n° interior angle | ((n - 2) π)/n rad≈(3.14159 (n - 2))/n rad≈(180 (n - 2))/n° interior angle sum | (n - 2) π rad≈3.14159 (n - 2) rad≈180 (n - 2)° apothem | 1/2 s cot(π/n)≈0.5 s cot(3.14159/n) (assuming n vertices, center (x_0, y_0), and edge length s)

    Skeleton graph

    n-cycle graph

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