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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

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 vertices)