One arcminute is 1/60 degree.
Arcminutes to Arcseconds Converter — arcmin to arcsec
Convert Arcminute (arcmin) to Arcsecond (arcsec) using the exact conversion factor (1 arcminute = 60 arcsecond). See the formula, worked examples, and conversion table.
Arcminutes to Arcseconds converter
Converter
Angle Converter
Convert radians, degrees, gradians, turns, arcminutes, arcseconds, and milliradians.
One arcsecond is 1/3600 degree.
Result = input x 0.0002908882087 / 4.84813681e-6.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Arcminutes to Arcseconds
Arcminute and Arcsecond are the two standard ways to measure angles — degrees for everyday and navigational use, radians for calculus and physics — so converting between them comes up constantly in math, engineering, and programming. Specifically: One arcminute is 1/60 degree, and one arcsecond is 1/3600 degree.
Formula
arcseconds = arcminutes × 60
This factor comes from each unit's defined relationship to the category's base unit: 1 arcminute equals 0.000290888208666 base units, and 1 arcsecond equals 0.0000048481368111 base units, so dividing one by the other gives the direct arcminute-to-arcsecond factor of 60.
Simple example
1 arcmin × 60 = 60 arcsec
1 arcminute = 60 arcseconds.
Real-world example
90 arcmin × 60 = 5,400 arcsec
90 arcminutes = 5,400 arcseconds.
Conversion table
| Arcminute (arcmin) | Arcsecond (arcsec) |
|---|---|
| 0 arcmin | 0 arcsec |
| 30 arcmin | 1,800 arcsec |
| 45 arcmin | 2,700 arcsec |
| 90 arcmin | 5,400 arcsec |
| 180 arcmin | 10,800 arcsec |
| 360 arcmin | 21,600 arcsec |
Reverse conversion: Arcsecond to Arcminute
60 arcsec × 0.01666666667 = 1 arcmin
60 arcseconds = 1 arcminute.
arcminutes = arcseconds × 0.0166666666667
For a page dedicated to this direction, see Arcsecond to Arcminute.
Understanding the Arcminute (arcmin)
One arcminute is 1/60 degree.
Understanding the Arcsecond (arcsec)
One arcsecond is 1/3600 degree.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many arcseconds are in 1 arcminute?
1 arcminute equals 60 arcseconds, using the exact defined conversion factor rather than an estimate.
How do I convert arcminute to arcsecond?
Multiply the arcminute value by 60. The converter above does this instantly to whatever precision you set.
How do I convert arcsecond back to arcminute?
Use the reverse factor: 1 arcsecond equals 0.0166666667 arcminutes. You can also use the swap control in the converter above to flip the direction instantly.
What is a arcminute?
Arcminute (arcmin) is a unit of angle.
What is a arcsecond?
Arcsecond (arcsec) is a unit of angle.
Is the arcminute to arcsecond conversion exact?
Yes. Both arcminute and arcsecond are defined by fixed standards rather than physical artifacts, so the factor of 60 used above is exact to as many digits as you choose to display.