arcminute [arcmin] to radian [rad] Converter
Quick Reference
1 arcminute (arcmin) = 0.0002908882087 radian (rad)
1 radian (rad) = 3437.746771 arcminute (arcmin)
How to Convert arcminute to radian
1 arcmin = 0.0002908882087 rad
1 rad = 3437.746771 arcmin
To convert arcminute to radian, divide the value by 3437.746771 (equivalently, multiply by 0.0002908882087). To convert radian back to arcminute, multiply by 3437.746771.
Example: convert 10 arcmin to rad:
10 arcmin = 10 x 0.0002908882087 = 0.002908882087 rad
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
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 to radian Conversion Table
| arcminute [arcmin] | radian [rad] |
|---|---|
| 1 arcmin | 0.0002908882087 rad |
| 2 arcmin | 0.0005817764173 rad |
| 5 arcmin | 0.001454441043 rad |
| 10 arcmin | 0.002908882087 rad |
| 20 arcmin | 0.005817764173 rad |
| 50 arcmin | 0.01454441043 rad |
| 100 arcmin | 0.02908882087 rad |
| 200 arcmin | 0.05817764173 rad |
| 500 arcmin | 0.1454441043 rad |
| 1000 arcmin | 0.2908882087 rad |
Common arcminute to radian conversions
- 1 arcmin = 0.0002908882087 rad
- 2 arcmin = 0.0005817764173 rad
- 3 arcmin = 0.000872664626 rad
- 4 arcmin = 0.001163552835 rad
- 5 arcmin = 0.001454441043 rad
- 6 arcmin = 0.001745329252 rad
- 7 arcmin = 0.002036217461 rad
- 8 arcmin = 0.002327105669 rad
- 9 arcmin = 0.002617993878 rad
- 10 arcmin = 0.002908882087 rad
- 12 arcmin = 0.003490658504 rad
- 15 arcmin = 0.00436332313 rad
- 20 arcmin = 0.005817764173 rad
- 25 arcmin = 0.007272205217 rad
- 30 arcmin = 0.00872664626 rad
- 40 arcmin = 0.01163552835 rad
- 50 arcmin = 0.01454441043 rad
- 60 arcmin = 0.01745329252 rad
- 75 arcmin = 0.02181661565 rad
- 100 arcmin = 0.02908882087 rad
- 150 arcmin = 0.0436332313 rad
- 200 arcmin = 0.05817764173 rad
- 250 arcmin = 0.07272205217 rad
- 300 arcmin = 0.0872664626 rad
- 500 arcmin = 0.1454441043 rad
- 750 arcmin = 0.2181661565 rad
- 1,000 arcmin = 0.2908882087 rad