Turn to Radian Converter

1 tr = 6.2832 rad

01

FORMULA

1 tr = 6.2832 rad
02

CONVERSION TABLE

Turn (tr) Radian (rad)
1 tr 6.2832 rad
5 tr 31.4159 rad
10 tr 62.8319 rad
25 tr 157.0796 rad
50 tr 314.1593 rad
100 tr 628.3185 rad
250 tr 1,570.8 rad
500 tr 3,141.59 rad
1,000 tr 6,283.19 rad
Radian to Turn
03

COMMON VALUES

1 tr
= 6.2832 rad
2 tr
= 12.5664 rad
3 tr
= 18.8496 rad
5 tr
= 31.4159 rad
10 tr
= 62.8319 rad
15 tr
= 94.2478 rad
20 tr
= 125.6637 rad
25 tr
= 157.0796 rad
30 tr
= 188.4956 rad
50 tr
= 314.1593 rad
75 tr
= 471.2389 rad
100 tr
= 628.3185 rad
04

RELATED CONVERSIONS

Degree → Radian Radian → Degree Degree → Gradian Gradian → Degree Radian → Gradian Gradian → Radian

About Turn (tr)

One turn equals one complete rotation (360 degrees or 2*pi radians). Used in mechanical engineering for specifying rotational counts, fastener tightening instructions (e.g., 'tighten an additional quarter turn'), and phase angles in signal processing where full cycles are the natural unit.

About Radian (rad)

The SI unit of angular measure, one radian is the angle subtended at the center of a circle by an arc equal in length to the radius. A full circle is 2*pi radians (approximately 6.283 rad). Radians are essential in calculus and physics because trigonometric functions have their simplest derivatives when angles are in radians.

How to Convert Turn to Radian

The conversion formula is: 1 tr = 6.2832 rad. To convert from Turn (tr) to Radian (rad), use the formula above or the interactive converter at the top of this page.

05

FAQ

How many Radian in 1 Turn?

1 Turn (tr) equals 6.2832 Radian (rad).

How to convert Turn to Radian?

Multiply the Turn value by 6.2832 to get the equivalent in Radian. Formula: 1 tr = 6.2832 rad

What is the formula for Turn to Radian conversion?

1 tr = 6.2832 rad

Glossary

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