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Sum of Exterior Angles of a Polygon

Result

360° (degrees)
(assuming a convex polygon)

Visual representation


(drawn with 6 vertices and edge lengths 2, 1, 1, 1, 1, 1)

Unit conversions

6.283 radians

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)

Loss factor d from δ = tan^(-1)(d):
 | -2.4×10^-16

Quality factor Q from δd = tan^(-1)(1/Q):
 | -4.083×10^15

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 vertices)

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