One arcminute is 1/60 degree.
Arcminutes to Circles Converter — arcmin to circle
Convert Arcminute (arcmin) to Circle (circle) using the exact conversion factor (1 arcminute = 0.0000462963 circle). See the formula, worked examples, and conversion table.
Arcminutes to Circles converter
Converter
Angle Converter
Convert radians, degrees, gradians, turns, arcminutes, arcseconds, and milliradians.
Context values
Some unit families need one extra value for a physically accurate result.
One complete circle.
Result = input x 0.0002908882087 / 6.283185307.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Arcminutes to Circles
Arcminute and Circle 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 complete circle.
Formula
circles = arcminutes × 0.0000462962962963
This factor comes from each unit's defined relationship to the category's base unit: 1 arcminute equals 0.000290888208666 base units, and 1 circle equals 6.28318530718 base units, so dividing one by the other gives the direct arcminute-to-circle factor of 0.0000462962962963.
Simple example
1 arcmin × 0.0000462962963 = 0.0000462963 circle
1 arcminute = 0.0000462963 circles.
Real-world example
90 arcmin × 0.0000462962963 = 0.0041666667 circle
90 arcminutes = 0.0041666667 circles.
Conversion table
| Arcminute (arcmin) | Circle (circle) |
|---|---|
| 0 arcmin | 0 circle |
| 30 arcmin | 0.0013888889 circle |
| 45 arcmin | 0.0020833333 circle |
| 90 arcmin | 0.0041666667 circle |
| 180 arcmin | 0.0083333333 circle |
| 360 arcmin | 0.0166666667 circle |
Reverse conversion: Circle to Arcminute
0.0000462963 circle × 21600 = 1.00000008 arcmin
0.0000462963 circles = 1.00000008 arcminutes.
arcminutes = circles × 21600
For a page dedicated to this direction, see Circle to Arcminute.
Understanding the Arcminute (arcmin)
One arcminute is 1/60 degree.
Understanding the Circle (circle)
One complete circle.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many circles are in 1 arcminute?
1 arcminute equals 0.0000462963 circles, using the exact defined conversion factor rather than an estimate.
How do I convert arcminute to circle?
Multiply the arcminute value by 0.0000462962963. The converter above does this instantly to whatever precision you set.
How do I convert circle back to arcminute?
Use the reverse factor: 1 circle equals 21,600 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 circle?
Circle (circle) is a unit of angle.
Is the arcminute to circle conversion exact?
Yes. Both arcminute and circle are defined by fixed standards rather than physical artifacts, so the factor of 0.0000462962963 used above is exact to as many digits as you choose to display.