Angle Unit Conversion
Enter the Angle value in the unit field, and the list below will immediately show the conversion results.
Units | |||
|---|---|---|---|
| Arc second (arcsec) | 3240 | 3240 | SI |
| Arc minute (arcmin) | 54 | 54 | SI |
| Degree (deg) | 0.9 | 0.9 | SI |
| Radian (rad) | 0.015707963267948967 | 0.015707963267948967 | SI |
Grad (grad) MultipleChart
Logarithmic Scale
Angle Units Conversion Chart
| Radian (rad) | Degree (deg) | Grad (grad) | Arc minute (arcmin) | Arc second (arcsec) | |
|---|---|---|---|---|---|
| Radian (rad) | 1 | 57.29577951308232 | 63.66197723675813 | 3437.7467707849396 | 206264.80624709636 |
| Degree (deg) | 0.017453292519943295 | 1 | 1.1111111111111112 | 60 | 3600 |
| Grad (grad) | 0.015707963267948967 | 0.9 | 1 | 54 | 3240 |
| Arc minute (arcmin) | 0.0002908882086657216 | 0.016666666666666666 | 0.018518518518518517 | 1 | 60 |
| Arc second (arcsec) | 0.00000484813681109536 | 0.0002777777777777778 | 0.00030864197530864197 | 0.016666666666666666 | 1 |
Angle Units Introduction
Radian (rad) represents the ratio of the arc length to the radius of a circle. Specifically, 1 radian is the angle subtended by an arc length equal to the radius. A full circle is 2π radians, which means 360 degrees is equal to 2π radians, so 1 radian is approximately 57.2958 degrees. Radians are widely used in mathematics and physics, especially when dealing with circles and periodic phenomena.
Degree (deg) is a traditional unit of angular measurement, where a circle is divided into 360 degrees (°). This choice of unit is related to the Babylonian civilization, which used a sexagesimal system. Each degree can be further subdivided into 60 arcminutes, and each arcminute can be further subdivided into 60 arcseconds. Degrees are the most common unit of angular measurement in everyday life, widely used in fields such as cartography, navigation, and architectural design.
Grad (grad) (also known as grads or gon) is a unit of angular measurement where a circle is divided into 400 units. Each grad is equal to 0.9 degrees (deg) or π/200 radians (rad). It is mainly used in France and some engineering applications but is not as common as degrees and radians.
Arc minute (arcmin) is a subdivision of a degree, used to represent very small angles. 1 degree is equal to 60 arcminutes (arcminutes, symbol ′). For example, arcminutes are commonly used in astronomy to describe the angular distance between celestial objects. Arcminutes are also common in cartography for representing subdivisions of geographic coordinates.
Arc second (arcsec) is a further subdivision of an arcminute, where 1 arcminute is equal to 60 arcseconds (arcseconds, symbol ″). It is particularly important in astronomy for describing very small angles, such as the angular distance between stars and planets. Arcseconds are also used in high-precision measurements and navigation systems.