Angle

An angle is a figure formed by two rays sharing an endpoint. Its measure describes the rays’ relative direction, commonly in degrees or radians.

Ray (geometry): A ray is part of a line with one endpoint that extends infinitely in one direction. The two rays forming an angle share their endpoint.
Trigonometry: Trigonometry studies relationships among angles and side lengths, especially in triangles. It uses angle measures to relate directions, distances, and ratios.
Bearing (navigation): A bearing is a horizontal direction expressed as an angle relative to a reference direction. Navigation encodes a destination’s direction using measured angles.
Solid angle: A solid angle measures the three-dimensional spread of directions subtended by a region at a point. It generalizes planar angle to directions occupying space.
Vertex (geometry): A vertex is a point where two or more lines, rays, or segments meet. The shared endpoint of an angle’s rays is its vertex.
Unit circle: The unit circle is a circle of radius one centered at the origin of a coordinate plane. It represents angles as rotations and associates them with points on a circle.
Azimuth: Azimuth is the horizontal angular direction of an object measured around a reference point. It locates directions in surveying, astronomy, and navigation.
Oriented angle: An oriented angle is an angle whose sign distinguishes rotation direction under a chosen convention. Its sign preserves orientation information absent from an ordinary nonnegative angle.
Degree (angle): A degree is a unit of angle measure equal to one three-hundred-sixtieth of a full turn. Degrees express an angle’s size by dividing a full turn into 360 parts.
Angle addition: Angle addition combines two adjacent angles to obtain the measure of their combined angle. It provides a basic rule for calculating larger angles from smaller ones.

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