Subtended
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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 (i.e. apex angle) <math>\theta</math> is <math>2 \pi \left (1 - \cos {\theta \over 2} \right)</math>.
[edit] See also
[edit] External links
- How an angle is subtended by an object, Math Open Reference, With interactive applet
- Angle definition pages, Math Open Reference, with interactive applets that are also useful in a classroom setting.
