radian [rad] to arcsecond [arcsec] Converter
Quick Reference
1 radian (rad) = 206264.8062 arcsecond (arcsec)
1 arcsecond (arcsec) = 4.8481e-6 radian (rad)
How to Convert radian to arcsecond
1 rad = 206264.80624709636 arcsec
1 arcsec = 0.00000484813681109536 rad
To convert radian to arcsecond, multiply the value by 206264.8062. To convert arcsecond back to radian, divide by 206264.8062.
Example: convert 10 rad to arcsec:
10 rad = 10 x 206264.80624709636 = 2062648.0624709637 arcsec
radian
Definition: A radian is the standard unit of angular measure, used in many areas of mathematics. One radian is defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle.
History/origin: The concept of radian measure was developed in the mid-18th century. Roger Cotes was one of the first to recognize the naturalness of using the radius as the unit of angle measurement. The term 'radian' first appeared in print on 1873, in examination questions set by James Thomson at Queen's College, Belfast.
Current use: Radians are widely used in mathematics, physics, and engineering, particularly in calculus, trigonometry, and signal processing. They simplify many formulas and are the standard unit for angular measurement in scientific and mathematical contexts.
arcsecond
Definition: An arcsecond (symbol: '') is a unit of angular measure equal to 1/60 of an arcminute or 1/3600 of a degree. It is used to express very small angles, particularly in astronomy and surveying.
History/origin: Like the arcminute, the arcsecond originates from the Babylonian sexagesimal system.
Current use: Arcseconds are used in astronomy for high-precision measurements of stellar positions, parallaxes, and proper motions. They are also used in surveying and geodesy for precise angle determination.
radian to arcsecond Conversion Table
| radian [rad] | arcsecond [arcsec] |
|---|---|
| 1 rad | 206264.80624709636 arcsec |
| 2 rad | 412529.6124941927 arcsec |
| 5 rad | 1031324.0312354818 arcsec |
| 10 rad | 2062648.0624709637 arcsec |
| 20 rad | 4125296.1249419274 arcsec |
| 50 rad | 10313240.312354818 arcsec |
| 100 rad | 20626480.624709636 arcsec |
| 200 rad | 41252961.24941927 arcsec |
| 500 rad | 103132403.12354818 arcsec |
| 1000 rad | 206264806.24709636 arcsec |