ANGLE CONVERSION

Turn to Radian.

Convert turn (turn) to radian (rad), with the math explained.

Angle converter
turn
6.283185307rad
THE RESULT

1 turn = 6.283185307 rad

Calculated in your browserFormula & conversion table

THE MATH, MADE SIMPLE

How to convert turn to radian

Multiply your turn value by 6.28318530718 to get the equivalent in radian. Both units are normalized through the radian.

CONVERSION FORMULArad = turn × 6.283185307
WORKED EXAMPLE

10 turn = 62.8318530718 rad

Result rounded to 12 significant digits. Change the precision in the calculator to suit your task.

QUICK REFERENCE

turn to rad conversion table

Reverse
Turn (turn)Radian (rad)
1 turn6.28318530718 rad
2 turn12.5663706144 rad
5 turn31.4159265359 rad
10 turn62.8318530718 rad
20 turn125.663706144 rad
50 turn314.159265359 rad
100 turn628.318530718 rad
500 turn3,141.59265359 rad
1,000 turn6,283.18530718 rad
turn

About the turn

The turn (turn) is a unit of angle. One turn equals 6.28318530718 radian (base unit) in this calculator.

All turn conversions
rad

About the radian

The radian (rad) is a unit of angle. One radian equals 1 radian (base unit) in this calculator.

All radian conversions

Common questions

What is 1 turn in rad?

One turn equals 6.28318530718 rad. Use the formula above for other values.

Why might another calculator show a different last digit?

Calculators may round at different stages or use different unit conventions. We keep full JavaScript numeric precision during calculation and round only for display. Choose up to 15 significant digits. Check US versus UK units and the notes for this category.

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