Radian to Turn

Convert Radian to Turn instantly. Free online angle unit converter with exact formula, conversion table and FAQ.

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Formula

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Formula

turn = radian × 0.159155

radian = turn × 6.283185

Conversion table

1 rad0.159155 turn
5 rad0.795775 turn
10 rad1.591549 turn
20 rad3.183099 turn
50 rad7.957747 turn
100 rad15.915494 turn
500 rad79.577472 turn
1000 rad159.154943 turn
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Frequently asked questions

What is the source unit in this conversion?

The source unit is the radian (rad). The radian is the SI angle unit.

What is the destination unit in this conversion?

The destination unit is the turn (turn). One full revolution.

How do I convert radian to turn?

Multiply the radian value by 0.159155. For example, 10 rad × 0.159155 = 1.591549 turn.

Is the radian to turn conversion exact?

Yes. The relationship between these units is a fixed mathematical or SI-defined ratio, so the conversion factor is exact rather than a measured approximation.

Where is this conversion commonly used?

It's used whenever a value expressed in radian needs to be compared with, or reported in, turn, such as in engineering, scientific, or everyday calculations.

Can I convert turn back to radian?

Yes. Multiply the turn value by 6.283185 to get radian.

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About this conversion

This page converts radian (rad) to turn (turn) within the angle converter.

The radian is the SI angle unit. One full revolution.

The formula is turn = radian × 0.159155, based on each unit's fixed relationship to the angle converter's base unit.

The conversion is exact, since it relies on a fixed numerical ratio between the two units rather than a measured or approximate value.

Use the calculator above for instant results, or the table below for common radian values already converted to turn.