radians to arcminutes | Exact Decimal + Formula
1 Radian = 3437.746771 Arcminute
One radian equals about 3.4 thousand arcminutes (exactly 3437.746771 arcmin). Real-world use: calculus, physics, and programming trigonometry functions. This page expresses those values in arcminutes, which is used for astronomy (apparent sizes), optics, and navigation. Use the calculator above, then check the reference table for common values from 0.001 to 1000.
About Radian and Arcminute
Radian (rad)
A radian is the angle subtended by an arc equal to the circle's radius; a full circle is 2π radians.
Where it's used: Calculus, physics, and programming trigonometry functions.
Arcminute (arcmin)
An arcminute is 1/60 of a degree.
Where it's used: Astronomy (apparent sizes), optics, and navigation.
Advertisement
Angle Converter
Tab Switch fieldsS SwapC Copy
Formula
arcmin = rad × 3437.746770785
To convert Radian to Arcminute, use the formula displayed above.
Pinned Favorites
No pinned converters yet. Click the star button to pin common pairs.
Recent History
Conversions you copy will be recorded here.
Advertisement
Radian to Arcminute: Quick Reference Table
| Radian | Arcminute (Decimal) | Fraction |
|---|---|---|
| 0.001 rad | 3.437747 arcmin | - |
| 0.01 rad | 34.377468 arcmin | - |
| 0.1 rad | 343.774677 arcmin | - |
| 0.5 rad | 1718.873385 arcmin | - |
| 1 rad | 3437.746771 arcmin | - |
| 2 rad | 6875.493542 arcmin | - |
| 5 rad | 17188.733854 arcmin | - |
| 10 rad | 34377.467708 arcmin | - |
| 25 rad | 85943.66927 arcmin | - |
| 50 rad | 171887.338539 arcmin | - |
| 100 rad | 343774.677078 arcmin | - |
| 250 rad | 859436.692696 arcmin | - |
| 500 rad | 1718873.385392 arcmin | - |
| 1000 rad | 3437746.770785 arcmin | - |
rad to arcmin Formula and Examples
Direct Formula
arcmin = rad × 3437.746770785 Inverse Formula
rad = arcmin × 0.000291 Mental Math Shortcut
Multiply the value by roughly 3437.7 to calculate the equivalent amount in your head.
Common Radian to Arcminute Calculations
- 5 rad = 17188.733854 arcmin
- 10 rad = 34377.467708 arcmin
- 50 rad = 171887.338539 arcmin
- 100 rad = 343774.677078 arcmin
- 500 rad = 1718873.385392 arcmin
Precision & Practical Use
For example, 10 rad = 34377.467708 arcmin — roughly multiple unit increments.
Results are computed to up to 9 decimal places. Round to the precision of your measuring instrument — for most angle applications, 2–3 significant figures are plenty.
Advertisement
How to Convert Radian to Arcminute
How many arcminutes are in one radian?
One Radian (rad) equals 3437.746771 Arcminute (arcmin). To convert radians to arcminutes, multiply the radian value by 3437.746771.
How do I convert Radian to Arcminute?
Multiply your radian value by 3437.746771 to get the result in Arcminute: arcmin = rad × 3437.746771. For example, 5 rad = 17188.733854 arcmin.
What is the formula for converting rad to arcmin?
The conversion formula is arcmin = rad × 3437.746771. Use the calculator above for any value, and see the reference table below for common inputs from 0.001 to 1000.
Is there a quick mental estimate for rad to arcmin?
Multiply the value by roughly 3437.7 to calculate the equivalent amount in your head.
Advertisement