Title: Angle
Content:   Throughout history, angles have been measured in many different units. These are known as angular units, with the most contemporary units being the degree ( ° ), the radian (rad), and the gradian (grad), though many others have been used throughout history. Angles expressed in radians are dimensionless for dimensional analysis. Most units of angular measurement are defined such that one turn (i.e. one full circle) is equal to n units, for some whole number n. The two exceptions are the radian (and its decimal submultiples) and the diameter part. One radian is the angle subtended by an arc of a circle that has the same length as 
Title: Spherical geometry
Content: Any two great circles intersect in two diametrically opposite points, called antipodal points. ; Any two points that are not antipodal points determine a unique great circle. ; There is a natural unit of angle measurement (based on a revolution), a natural unit of length (based on the circumference of a great circle) and a natural unit of area (based on the area of the sphere). ; Each great circle is associated with a pair of antipodal points, called its poles which are the common intersections of the set of great circles perpendicular to it. This shows that a great circle is, with respect to distance measurement on the surface of 
Title: Angle
Content:  circle's radius. The radian is the derived quantity of angular measurement in the SI system. By definition, it is dimensionless, though it may be specified as rad to avoid ambiguity. Angles measured in degrees, are shown with the symbol °. Subdivisions of the degree are minute (symbol ′, 1′ = 1/60°) and second {symbol ″, 1″ = 1/3600°}. An angle of 360° corresponds to the angle subtended by a full circle, and is equal to 2π radians, or 400 gradians. Other units used to represent angles are listed in the following table. These units are defined such that the number of turns is equivalent to a full circle.
Title: Degree (angle)
Content:  A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees. It is not an SI unit—the SI unit of angular measure is the radian—but it is mentioned in the SI brochure as an accepted unit. Because a full rotation equals 2 radians, one degree is equivalent to undefined⁄180 radians.
Title: Angle
Content:  dimensions relative to a reference orientation, angles that differ by a non-zero multiple of a full turn are not equivalent. [[File:Angle measure.svg|right|thumb|The measure of angle θ is s⁄r radians.]] In order to measure an angle θ, a circular arc centered at the vertex of the angle is drawn, e.g. with a pair of compasses. The ratio of the length s of the arc by the radius r of the circle is the number of radians in the angle. Conventionally, in mathematics and in the SI, the radian is treated as being equal to the dimensionless value 1. The angle expressed another angular 
Title: Radian
Content:  Circle radians.gif with the same length as the radius of that circle subtends an angle of 1 radian. The circumference subtends an angle of 2 &pi; radians.]] The radian, denoted by the symbol \text{rad}, is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics. The unit was formerly an SI supplementary unit (before that category was abolished in 1995) and the radian is now an SI derived unit. The radian is defined in the SI as being a dimensionless value, and its symbol is accordingly often omitted, especially in mathematical writing.
Title: Pentagramma mirificum
Content:  On a sphere, both the angles and the sides of a triangle (arcs of great circles) are measured as angles. There are five right angles, each measuring are rotations of one another.
Title: Law of tangents
Content:  On a sphere of unit radius, the sides of the triangle are arcs of great circles. Accordingly, their lengths can be expressed in radians or any other units of angular measure. Let A , B , C be the angles at the three vertices of the triangle and let a , b , c be the respective lengths of the opposite sides. The spherical law of tangents says 
Title: Sphere
Content:   The basic elements of Euclidean plane geometry are points and lines. On the sphere, points are defined in the usual sense. The analogue of the "line" is the geodesic, which is a great circle; the defining characteristic of a great circle is that the plane containing all its points also passes through the center of the sphere. Measuring by arc length shows that the shortest path between two points lying on the sphere is the shorter segment of the great circle that includes the points. Many theorems from classical geometry hold true for spherical geometry as well, but not all do because the sphere fails to satisfy some of classical geometry's postulates, including the parallel postulate. In spherical trigonometry, angles are defined between great circles. Spherical trigonometry differs from ordinary trigonometry in many respects. For example, the sum of the interior angles of a spherical triangle always exceeds 180 degrees. Also, any two similar spherical triangles are congruent.
Title: Square degree
Content:  A square degree (deg2) is a non-SI unit measure of solid angle. Other denotations include sq. deg. and (°)2. Just as degrees are used to measure parts of a circle, square degrees are used to measure parts of a sphere. Analogous to one degree being equal to undefined⁄180 radians, a square degree is equal to (undefined⁄180)2 steradians (sr), or about 1⁄3,283 sr or 3.046 sr. The whole sphere has a solid angle of which is approximately 41,253 deg2: 

Question: points on a sphere or angles in a circle are measured in units called?
Answer: radians.