Definition

Noun: A unit of measurement for angles and arcs, representing 1/360th of a full rotation or circle.

Usage

This term is used in geometry, trigonometry, navigation, and any field requiring precise angular measurement. It quantifies the size of an angle or the length of an arc on a circle's circumference relative to the circle's center.

Examples

• The angle formed by the clock's hands at three o'clock is 90 arcdegrees.
• To convert from radians, multiply the value by approximately 57.2958 to get arcdegrees.
• The latitude of the location is 45 arcdegrees north.

Advanced Usage

• Arcminutes and Arcseconds: An arcdegree is subdivided into 60 arcminutes, and an arcminute is further subdivided into 60 arcseconds, allowing for very precise measurements.
  • Example: The star's position was recorded with an accuracy of less than one arcsecond.
• Decimal Degrees: In many modern applications (like GPS), fractional parts of an arcdegree are expressed as decimals rather than minutes and seconds.
  • Example: The coordinates 40.7486° N, 73.9864° W are given in decimal degrees.

Variants and Related Words

• Degree (n): The more common and general term, often used interchangeably with "arcdegree" in contexts where the meaning is clear from the subject (e.g., mathematics, geography). It can also refer to units of temperature or educational achievement.
• ° (symbol): The standard symbol for an arcdegree (e.g., 45°).

Synonyms

• Degree (of arc)
• Angular degree

Notes on Meaning

• Primary Meaning: Its core meaning is strictly geometric, as a unit of angular measure equal to 1/360 of a circle.
• Distinction from Other "Degrees": It is crucial to distinguish this term from other uses of "degree," such as a unit of temperature (e.g., degrees Celsius) or an academic title (e.g., a bachelor's degree). The prefix "arc-" explicitly specifies the angular context.

Noun

1. a measure for arcs and angles
   • there are 360 degrees in a circle