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