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Subtended - Wikipedia, the free encyclopedia

Subtended

From Wikipedia, the free encyclopedia

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 (i.e. apex angle) θ is 2 \pi \left (1 - \cos {\theta \over 2} \right).

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