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 = 3437.746771 arcmin
1 arcmin = 0.0002908882087 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 3437.746771 = 34377.46771 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 | 3437.746771 arcmin |
| 2 rad | 6875.493542 arcmin |
| 5 rad | 17188.73385 arcmin |
| 10 rad | 34377.46771 arcmin |
| 20 rad | 68754.93542 arcmin |
| 50 rad | 171887.3385 arcmin |
| 100 rad | 343774.6771 arcmin |
| 200 rad | 687549.3542 arcmin |
| 500 rad | 1718873.385 arcmin |
| 1000 rad | 3437746.771 arcmin |
Common radian to arcminute conversions
- 1 rad = 3,437.746771 arcmin
- 2 rad = 6,875.493542 arcmin
- 3 rad = 10,313.240312 arcmin
- 4 rad = 13,750.987083 arcmin
- 5 rad = 17,188.733854 arcmin
- 6 rad = 20,626.480625 arcmin
- 7 rad = 24,064.227395 arcmin
- 8 rad = 27,501.974166 arcmin
- 9 rad = 30,939.720937 arcmin
- 10 rad = 34,377.467708 arcmin
- 12 rad = 41,252.961249 arcmin
- 15 rad = 51,566.201562 arcmin
- 20 rad = 68,754.935416 arcmin
- 25 rad = 85,943.66927 arcmin
- 30 rad = 103,132.403124 arcmin
- 40 rad = 137,509.870831 arcmin
- 50 rad = 171,887.338539 arcmin
- 60 rad = 206,264.806247 arcmin
- 75 rad = 257,831.007809 arcmin
- 100 rad = 343,774.677078 arcmin
- 150 rad = 515,662.015618 arcmin
- 200 rad = 687,549.354157 arcmin
- 250 rad = 859,436.692696 arcmin
- 300 rad = 1,031,324.031235 arcmin
- 500 rad = 1,718,873.385392 arcmin
- 750 rad = 2,578,310.078089 arcmin
- 1,000 rad = 3,437,746.770785 arcmin