One complete circle.
Circles to Turns Converter — circle to turn
Convert Circle (circle) to Turn (turn) using the exact conversion factor (1 circle = 1 turn). See the formula, worked examples, and conversion table.
Circles to Turns 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 full revolution.
Result = input x 6.283185307 / 6.283185307.
Angle uses radians as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Circles to Turns
Circle and Turn 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 full revolution.
Formula
turns = circles × 1
This factor comes from each unit's defined relationship to the category's base unit: 1 circle equals 6.28318530718 base units, and 1 turn equals 6.28318530718 base units, so dividing one by the other gives the direct circle-to-turn factor of 1.
Simple example
1 circle × 1 = 1 turn
1 circle = 1 turn.
Real-world example
90 circle × 1 = 90 turn
90 circles = 90 turns.
Conversion table
| Circle (circle) | Turn (turn) |
|---|---|
| 0 circle | 0 turn |
| 30 circle | 30 turn |
| 45 circle | 45 turn |
| 90 circle | 90 turn |
| 180 circle | 180 turn |
| 360 circle | 360 turn |
Reverse conversion: Turn to Circle
1 turn × 1 = 1 circle
1 turn = 1 circle.
circles = turns × 1
For a page dedicated to this direction, see Turn to Circle.
Understanding the Circle (circle)
One complete circle.
Understanding the Turn (turn)
One full revolution.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many turns are in 1 circle?
1 circle equals 1 turn, using the exact defined conversion factor rather than an estimate.
How do I convert circle to turn?
Multiply the circle value by 1. The converter above does this instantly to whatever precision you set.
How do I convert turn back to circle?
Use the reverse factor: 1 turn equals 1 circle. 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 turn?
Turn (turn) is a unit of angle.
Is the circle to turn conversion exact?
Yes. Both circle and turn are defined by fixed standards rather than physical artifacts, so the factor of 1 used above is exact to as many digits as you choose to display.