radian [rad] to arcminute [arcmin] Converter
Quick Reference
1 radian (rad) = 3437.746771 arcminute (arcmin)
1 arcminute (arcmin) = 0.0002908882087 radian (rad)
How to Convert radian to arcminute
1 rad = 3437.7467707849396 arcmin
1 arcmin = 0.0002908882086657216 rad
To convert radian to arcminute, multiply the value by 3437.746771. To convert arcminute back to radian, divide by 3437.746771.
Example: convert 10 rad to arcmin:
10 rad = 10 x 3437.7467707849396 = 34377.4677078494 arcmin
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.
arcminute
Definition: An arcminute (symbol: ') is a unit of angular measure equal to 1/60 of a degree. It is commonly used in astronomy, navigation, and surveying to express small angles.
History/origin: The arcminute is derived from the Babylonian sexagesimal system, which divided a degree into 60 minutes and a minute into 60 seconds.
Current use: Arcminutes are used in astronomy to measure the apparent size of celestial objects and their separation. They are also used in navigation and surveying for precise angle measurements.
radian to arcminute Conversion Table
| radian [rad] | arcminute [arcmin] |
|---|---|
| 1 rad | 3437.7467707849396 arcmin |
| 2 rad | 6875.493541569879 arcmin |
| 5 rad | 17188.733853924696 arcmin |
| 10 rad | 34377.46770784939 arcmin |
| 20 rad | 68754.93541569878 arcmin |
| 50 rad | 171887.33853924696 arcmin |
| 100 rad | 343774.6770784939 arcmin |
| 200 rad | 687549.3541569879 arcmin |
| 500 rad | 1718873.3853924696 arcmin |
| 1000 rad | 3437746.770784939 arcmin |