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    Sum of Exterior Angles of a Polygon

    Result

    360° (degrees) (assuming a convex polygon)

    Visual representation

    (drawn with 6 vertex count and edge lengths 2, 1, 1, 1, 1, 1)

    Unit conversions

    6.283 radians

    0.006283 krad (kiloradians)

    400 grads (unit officially deprecated)

    4 quad (quadrants)

    2 semicircles

    Comparison as plane angle

    = full angle ( 2 π rad )

    Interpretations

    plane angle

    Basic unit dimensions

    [angle]

    Corresponding quantities

    Rotation count N from N = φ/(2π): | 1 rot (rotation)

    Electric loss factor d from δ = tan^(-1)(d): | 0

    Properties of n-gon

    interior angle sum | (n - 2) π rad≈3.14159 (n - 2) rad≈180 (n - 2)° (assuming a convex polygon with n vertex count)