1 Turn to Radians

1 turn ≈ 6.2832 rad

Calculation: rad = 1 turn × 6.28319 ≈ 6.2832 rad

Turn to Radian Converter

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How wide is 1 turn?

1 turn (360 degrees) is comparable to a full rotation or complete circle.

What does 1 turn look like?

Illustration of a circular arrow showing full rotation
1 turn (360 degrees) is comparable to a full rotation or complete circle.

Did you know? Full rotation is 360°.

The ancient Babylonians chose 360° for a full circle because 360 has many divisors (24 of them).

How to Convert Turn to Radian

1 turn = 6.28319 radians

Radian = Turn × 6.28319

Example: 1 turn × 6.28319 = 6.2832 rad

Reverse Conversion

To convert radians back to turns:

  • Remember, 1 radian equals 0.159155 turns.
  • To convert 6.2832 rad to turn, multiply 6.2832 x 0.159155, resulting in 1 turn.

1 turn is also equal to:

  • 360 degree
  • 400 gradian
About these units

Turn: A turn (revolution) represents a full rotation.It is a convenient unit in mechanics, robotics, control systems, animation, and computer graphics for expressing rotations.

Radian: The radian (rad) is the SI derived unit of plane angle. It is defined as the angle subtended at the center of a circle by an arc equal in length to the radius.Although mathematically dimensionless, th...

Frequently Asked Questions

How much is 1 turn in radians?

1 turn equals 6.2832 radians. This is calculated by multiplying 1 by the conversion factor 6.28319.

What does 1 turn look like in radians?

1 turn (6.2832 radians) is one full turn (360°), a complete rotation.

How do you calculate 1 turn to radians?

Multiply 1 by the conversion factor 6.28319. The calculation is 1 × 6.28319 = 6.2832 radians. This factor is defined by international measurement standards.

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1 turn = 6.28319 radians
1 turn = 6.28319 radians — conversion chart

Nearby Conversions

0.25 turns1.571 radians 0.5 turns3.142 radians 0.75 turns4.712 radians 1.25 turns7.854 radians 1.5 turns9.425 radians 1.75 turns11 radians 2 turns12.57 radians 2.25 turns14.14 radians 2.5 turns15.71 radians 2.75 turns17.28 radians 3 turns18.85 radians 3.25 turns20.42 radians 3.5 turns21.99 radians

For general conversions between turns and radians, see the turns to radians converter.

Also convert Turns to:

Conversion factors verified against BIPM, ISO 80000-3 1 turn = 2π rad = 360° (exact, ISO 80000-3). Last reviewed: March 2026
Adilson Fernandes By Adilson Fernandes
Tiago Fernandes Reviewed by Tiago Fernandes

All unit conversions on CoolConversion use conversion factors defined or documented by internationally recognised standards bodies (such as ISO and NIST), including both SI and non-SI units.