On the left side of the equals sign } } is the central angle, assuming angles are measured in radians ( note that and; can be converted from radians to degrees by multiplying by } } as usual ).
22.
The constant-radius type employs the same face radius at all elevations of the dam, which means that as the channel grows narrower towards the bottom of the dam the central angle subtended by the face of the dam becomes smaller.
23.
This double magic angle is directly related to Tetrahedral molecular geometry and is the angle from one vertex to the exact center of the tetrahedron ( " i . e . ", the edge central angle also known as the tetrahedral angle ).
24.
A "'central angle "'is an angle whose apex ( vertex ) is the center O of a circle and whose legs ( sides ) are arc between those two points, and the arc length is the central angle ( measured in radians ).
25.
A "'central angle "'is an angle whose apex ( vertex ) is the center O of a circle and whose legs ( sides ) are arc between those two points, and the arc length is the central angle ( measured in radians ).
26.
When defining or drawing a central angle, in addition to specifying the points A and B, one must specify whether the angle being defined is the convex angle ( < 180 & deg; ) or the reflex angle ( > 180 & deg; ).
27.
:: The central angles, and many other properties, of various polyhedra are considered at K . J . M . MacLean, A Geometric Analysis of the Five Platonic Solids and Other Semi-Regular Polyhedra ?! talk ) 13 : 33, 13 November 2010 ( UTC)
28.
Since this is a unit sphere, the lengths,, and are simply equal to the angles ( in radians ) subtended by those sides from the center of the sphere ( for a non-unit sphere, each of these arc lengths is equal to its central angle multiplied by the radius of the sphere ).
29.
If one holds a piece of string between two points on a sphere, the string would be tracing the arc / curvature / perimeter / circumference i . e ., " great circle " segment between the two points, which would equal the central angle, \ Delta \ widehat { O } \, \ !.
30.
In spherical geometry, the shortest distance between two points is an arc of a great circle, but the triangle inequality holds provided the restriction is made that the distance between two points on a sphere is the length of a minor spherical line segment ( that is, one with central angle in ] } } ) with those endpoints.
