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In mathematics, "subtended" usually refers to the direct relationship between an angle and its arc length, or for solid angle the area on a unit sphere cut out by the envelope of the vectors defining the perimeter. For example, according to circle geometry, in a circle equal angles subtend equal arc lengths. The converse is also true, equal arc lengths subtend equal angles. The solid angle subtended by a circular cone of opening angle θ is 2π*.

See also


Geometry

 

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