turns to radians converter

1 turn equals 6.283185 radians. Conversions use rad = turn × 6.2832

turn → 6.283185 rad

rad = turn × 6.2832

Converter

Worked examples

1 turn = 6.283185 rad
2 turn = 12.566371 rad
5 turn = 31.415927 rad
10 turn = 62.831853 rad
100 turn = 628.319 rad

turns to radians conversion table

turn	rad	Arithmetic
1 turn	6.283185 rad	× 6.2832
2 turn	12.566371 rad	× 6.2832
3 turn	18.849556 rad	× 6.2832
4 turn	25.132741 rad	× 6.2832
5 turn	31.415927 rad	× 6.2832
6 turn	37.699112 rad	× 6.2832
8 turn	50.265482 rad	× 6.2832
10 turn	62.831853 rad	× 6.2832
12 turn	75.398224 rad	× 6.2832
15 turn	94.24778 rad	× 6.2832
20 turn	125.664 rad	× 6.2832
25 turn	157.08 rad	× 6.2832
30 turn	188.496 rad	× 6.2832
40 turn	251.327 rad	× 6.2832
50 turn	314.159 rad	× 6.2832
60 turn	376.991 rad	× 6.2832
70 turn	439.823 rad	× 6.2832
80 turn	502.655 rad	× 6.2832
90 turn	565.487 rad	× 6.2832
100 turn	628.319 rad	× 6.2832

How to convert turn to rad

Take your value in turns.
Multiply by 6.2832
That is your answer in radians — no rounding needed until you choose a display precision.

Related conversions

rad to turn ° to rad rad to °rad to grad rad to arcmin rad to arcsec grad to rad turn to °turn to grad all angle units

Questions

How many radians in 1 turn?

Exactly 6.283185 rad. The factor follows from the definitions of both units, not from a measurement, so it is exact.

How do I convert turn to rad?

Multiply the turns figure by 6.2832 — or use the converter above, which updates as you type.

Is turn to rad the same as rad to turn?

No — they are inverses. One turn is 6.283185 rad, while one rad is 0.15915494 turn.

What is 1 turn in rad?

1 turn = 6.283185 rad (see the value page for the full arithmetic).