One complete circle.
Circles to Arcseconds Converter — circle to arcsec
Convert Circle (circle) to Arcsecond (arcsec) using the exact conversion factor (1 circle = 1,296,000 arcsecond). See the formula, worked examples, and conversion table.
Circles to Arcseconds 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 arcsecond is 1/3600 degree.
Result = input x 6.283185307 / 4.84813681e-6.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Circles to Arcseconds
Circle 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 complete circle, and one arcsecond is 1/3600 degree.
Formula
arcseconds = circles × 1296000
This factor comes from each unit's defined relationship to the category's base unit: 1 circle equals 6.28318530718 base units, and 1 arcsecond equals 0.0000048481368111 base units, so dividing one by the other gives the direct circle-to-arcsecond factor of 1296000.
Simple example
1 circle × 1296000 = 1,296,000 arcsec
1 circle = 1,296,000 arcseconds.
Real-world example
90 circle × 1296000 = 116,640,000 arcsec
90 circles = 116,640,000 arcseconds.
Conversion table
| Circle (circle) | Arcsecond (arcsec) |
|---|---|
| 0 circle | 0 arcsec |
| 30 circle | 38,880,000 arcsec |
| 45 circle | 58,320,000 arcsec |
| 90 circle | 116,640,000 arcsec |
| 180 circle | 233,280,000 arcsec |
| 360 circle | 466,560,000 arcsec |
Reverse conversion: Arcsecond to Circle
1 arcsec × 7.716049e-7 = 7.716049e-7 circle
1 arcsecond = 7.716049e-7 circles.
circles = arcseconds × 7.716049e-7
For a page dedicated to this direction, see Arcsecond to Circle.
Understanding the Circle (circle)
One complete circle.
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 circle?
1 circle equals 1,296,000 arcseconds, using the exact defined conversion factor rather than an estimate.
How do I convert circle to arcsecond?
Multiply the circle value by 1296000. The converter above does this instantly to whatever precision you set.
How do I convert arcsecond back to circle?
Use the reverse factor: 1 arcsecond equals 7.716049e-7 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 arcsecond?
Arcsecond (arcsec) is a unit of angle.
Is the circle to arcsecond conversion exact?
Yes. Both circle and arcsecond are defined by fixed standards rather than physical artifacts, so the factor of 1296000 used above is exact to as many digits as you choose to display.