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Turns to Radians converter

Convert turn to rad instantly. Type any value and get the result in radians. 1 turn = 6.28319 rad.

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Angle›turn → rad
From
To
result below ↓
1 turn=
6.28319rad
formula1 turn = 6.28319 rad

Common turns → radians

=6.28319 rad
=12.5664 rad
=31.4159 rad
=62.8319 rad
=125.664 rad
=314.159 rad
=628.319 rad
=3,141.59 rad
=6,283.19 rad

Need a different value? .

Convert the other way
Radians to Turns

How to convert turns to radians

To convert turns to radians, multiply the value by 6.28319.

Formula
rad = turn × 6.28319

For example:

  • →5 turn = 31.4159 rad
  • →100 turn = 628.319 rad

Quick reference

  • ▸1 turn = 6.28319 rad
  • ▸1 rad = 0.159155 turn

When you need to convert turn to rad

  • ·Geometry and trigonometry homework.
  • ·CAD and 3D modeling — rotation values.
  • ·Navigation and bearings.
  • ·Astronomy — arcminutes and arcseconds.
  • ·Woodworking and construction — miter and bevel angles.

Frequently asked

How many radians are in 1 turn?
One turn equals 6.28319 radians.
How do I convert turn to rad in my head?
Multiply the value in turns by 6.28319 to get radians.
What is the formula for turns to radians?
rad = turn × 6.28319.
What is the reverse — how many turns in 1 radian?
One radian equals 0.159155 turns.

Related conversions

Radians to Turns
1 rad = 0.159155 turn
Turns to Degrees
1 turn = 360 °
Turns to Gradians
1 turn = 400 grad
Turns to Arcminutes
1 turn = 21,600 arcmin
Degrees to Radians
1 ° = 0.0174533 rad
Gradians to Radians
1 grad = 0.015708 rad
Arcminutes to Radians
1 arcmin = 0.000290888 rad
Arcseconds to Radians
1 arcsec = 4.8481e-6 rad
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