One complete circle.
Circles to Arcminutes Converter — circle to arcmin
Convert Circle (circle) to Arcminute (arcmin) using the exact conversion factor (1 circle = 21,600 arcminute). See the formula, worked examples, and conversion table.
Circles to Arcminutes 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 arcminute is 1/60 degree.
Result = input x 6.283185307 / 0.0002908882087.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Circles to Arcminutes
Circle and Arcminute 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 complete circle, and one arcminute is 1/60 degree.
Formula
arcminutes = circles × 21600
This factor comes from each unit's defined relationship to the category's base unit: 1 circle equals 6.28318530718 base units, and 1 arcminute equals 0.000290888208666 base units, so dividing one by the other gives the direct circle-to-arcminute factor of 21600.
Simple example
1 circle × 21600 = 21,600 arcmin
1 circle = 21,600 arcminutes.
Real-world example
90 circle × 21600 = 1,944,000 arcmin
90 circles = 1,944,000 arcminutes.
Conversion table
| Circle (circle) | Arcminute (arcmin) |
|---|---|
| 0 circle | 0 arcmin |
| 30 circle | 648,000 arcmin |
| 45 circle | 972,000 arcmin |
| 90 circle | 1,944,000 arcmin |
| 180 circle | 3,888,000 arcmin |
| 360 circle | 7,776,000 arcmin |
Reverse conversion: Arcminute to Circle
1 arcmin × 0.0000462962963 = 0.0000462963 circle
1 arcminute = 0.0000462963 circles.
circles = arcminutes × 0.0000462962962963
For a page dedicated to this direction, see Arcminute to Circle.
Understanding the Circle (circle)
One complete circle.
Understanding the Arcminute (arcmin)
One arcminute is 1/60 degree.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many arcminutes are in 1 circle?
1 circle equals 21,600 arcminutes, using the exact defined conversion factor rather than an estimate.
How do I convert circle to arcminute?
Multiply the circle value by 21600. The converter above does this instantly to whatever precision you set.
How do I convert arcminute back to circle?
Use the reverse factor: 1 arcminute equals 0.0000462963 circles. You can also use the swap control in the converter above to flip the direction instantly.
What is a circle?
Circle (circle) is a unit of angle.
What is a arcminute?
Arcminute (arcmin) is a unit of angle.
Is the circle to arcminute conversion exact?
Yes. Both circle and arcminute are defined by fixed standards rather than physical artifacts, so the factor of 21600 used above is exact to as many digits as you choose to display.