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.

Result 1 arcminute = 60 arcsecond
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From definition

One arcminute is 1/60 degree.

To definition

One arcsecond is 1/3600 degree.

Formula

Result = input x 0.0002908882087 / 4.84813681e-6.

Angle uses radians as the base unit.

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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 arcmin0 arcsec
30 arcmin1,800 arcsec
45 arcmin2,700 arcsec
90 arcmin5,400 arcsec
180 arcmin10,800 arcsec
360 arcmin21,600 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.

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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.