Radian vs. Degree

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Radiannoun

(geometry) In the International System of Units, the derived unit of plane angular measure of angle equal to the angle subtended at the centre of a circle by an arc of its circumference equal in length to the radius of the circle. Symbol: rad

Radiannoun

An arc of a circle which is equal to the radius, or the angle measured by such an arc.

Radiannoun

the unit of plane angle adopted under the Systeme International d'Unites; equal to the angle at the center of a circle subtended by an arc equal in length to the radius (approximately 57.295 degrees)

Radian

The radian, denoted by the symbol rad {\displaystyle {\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.

Degreenoun

A step on a set of stairs; the rung of a ladder.

Degreenoun

An individual step, or stage, in any process or scale of values.

Degreenoun

A stage of rank or privilege; social standing.

Degreenoun

(genealogy) A ‘step’ in genealogical descent.

Degreenoun

One's relative state or experience; way, manner.

Degreenoun

The amount that an entity possesses a certain property; relative intensity, extent.

Degreenoun

A stage of proficiency or qualification in a course of study, now especially an award bestowed by a university or, in some countries, a college, as a certification of academic achievement. (In the United States, can include secondary schools.)

Degreenoun

(geometry) A unit of measurement of angle equal to 1/360 of a circle's circumference.

Degreenoun

(physics) A unit of measurement of temperature on any of several scales, such as Celsius or Fahrenheit.

Degreenoun

(algebra) The sum of the exponents of a term; the order of a polynomial.

Degreenoun

The dimensionality of a field extension.

Degreenoun

(graph theory) The number of edges that a vertex takes part in; a valency.

Degreenoun

(logic) The number of logical connectives in a formula.

Degreenoun

(surveying) The curvature of a circular arc, expressed as the angle subtended by a fixed length of arc or chord.

Degreenoun

(geography) A unit of measurement of latitude and longitude which together identify a location on the Earth's surface.

Degreenoun

(grammar) Any of the three stages (positive, comparative, superlative) in the comparison of an adjective or an adverb.

Degreenoun

A step, stair, or staircase.

Degreenoun

One of a series of progressive steps upward or downward, in quality, rank, acquirement, and the like; a stage in progression; grade; gradation; as, degrees of vice and virtue; to advance by slow degrees; degree of comparison.

Degreenoun

The point or step of progression to which a person has arrived; rank or station in life; position.

Degreenoun

Measure of advancement; quality; extent; as, tastes differ in kind as well as in degree.

Degreenoun

Grade or rank to which scholars are admitted by a college or university, in recognition of their attainments; also, (informal) the diploma provided by an educational institution attesting to the achievement of that rank; as, the degree of bachelor of arts, master, doctor, etc.; to hang one's degrees on the office wall.

Degreenoun

A certain distance or remove in the line of descent, determining the proximity of blood; one remove in the chain of relationship; as, a relation in the third or fourth degree.

Degreenoun

Three figures taken together in numeration; thus, 140 is one degree, 222,140 two degrees.

Degreenoun

State as indicated by sum of exponents; more particularly, the degree of a term is indicated by the sum of the exponents of its literal factors; thus, a2b3c is a term of the sixth degree. The degree of a power, or radical, is denoted by its index, that of an equation by the greatest sum of the exponents of the unknown quantities in any term; thus, ax4 + bx2 = c, and mx2y2 + nyx = p, are both equations of the fourth degree.

Degreenoun

A 360th part of the circumference of a circle, which part is taken as the principal unit of measure for arcs and angles. The degree is divided into 60 minutes and the minute into 60 seconds.

Degreenoun

A division, space, or interval, marked on a mathematical or other instrument, as on a thermometer.

Degreenoun

a position on a scale of intensity or amount or quality;

Degreenoun

a specific identifiable position in a continuum or series or especially in a process;

Degreenoun

an award conferred by a college or university signifying that the recipient has satisfactorily completed a course of study;

Degreenoun

a unit of temperature on a specified scale;

Degreenoun

a measure for arcs and angles;

Degreenoun

the highest power of a term or variable

Degreenoun

the seriousness of something (e.g., a burn or crime);

Degreenoun

the amount, level, or extent to which something happens or is present

Degreenoun

a unit of measurement of angles, one ninetieth of a right angle or the angle subtended by one three-hundred-and-sixtieth of the circumference of a circle

Degreenoun

a unit in any of various scales of temperature, intensity, or hardness

Degreenoun

each of a set of grades (usually three) used to classify burns according to their severity.

Degreenoun

a legal grade of crime or offence, especially murder

Degreenoun

a step in direct genealogical descent

Degreenoun

a position in a musical scale, counting upwards from the tonic or fundamental note

Degreenoun

the class into which an equation falls according to the highest power of unknowns or variables present

Degreenoun

any of the three steps on the scale of comparison of gradable adjectives and adverbs, namely positive, comparative, and superlative.

Degreenoun

a rank in an order of freemasonry.

Degreenoun

a thing placed like a step in a series; a tier or row.

Degreenoun

an academic rank conferred by a college or university after examination or after completion of a course, or conferred as an honour on a distinguished person

Degreenoun

social or official rank

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