Convert radians to arcminutes
Type the number of radians that you wish to convert to arcminutes.
How to Convert Radians to Arcminutes
The radian and arcminute are both units of angle. 1 radian equals 3437.7467707 arcminutes. This means to convert radians to arcminutes, you multiply by 3437.7467707.
Formula
Step-by-Step Example
Convert 5 rad to arcminutes:
We need to convert radians to arcminutes
Since 1 rad = 3437.7467707 ′, multiply by 3437.7467707
5 × 3437.7467707 = 17188.733854
5 rad = 17188.733854 ′
Radian to Arcminute Conversion Table
Quick reference table for common radian to arcminute conversions. Click any value for detailed calculation.
| Radians (rad) | Arcminutes (′) |
|---|---|
| 0.1 rad | 343.77467707 ′ |
| 0.5 rad | 1718.8733854 ′ |
| 1 rad | 3437.7467707 ′ |
| 2 rad | 6875.4935414 ′ |
| 5 rad | 17188.733854 ′ |
| 10 rad | 34377.467707 ′ |
| 25 rad | 85943.669268 ′ |
| 50 rad | 171887.33854 ′ |
| 100 rad | 343774.67707 ′ |
About These Units
Radian (rad)
A radian (rad) is the SI unit of angle where the arc length equals the radius. One radian ≈ 57.3°. A full circle is 2π radians (≈6.28 rad). Radians are essential in calculus, physics, and engineering. Trigonometric functions in most programming languages use radians.
Arcminute (′)
An arcminute (′ or MOA) is 1/60 of a degree. Arcminutes measure astronomical object sizes (Moon: ~31 arcminutes), visual acuity (normal vision resolves 1 arcminute), and rifle scope adjustments (1 MOA ≈ 1 inch at 100 yards). GPS coordinates use degrees and arcminutes.
Frequently Asked Questions
How do I convert radians to arcminutes?
To convert radians to arcminutes, multiply the value by 3437.7467707. For example, 10 rad = 34377.467707 ′.
How many arcminutes are in 1 radian?
1 radian equals 3437.7467707 arcminutes.
What is the formula for radians to arcminutes?
The formula is: ′ = rad × 3437.7467707.